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Finding the Fourth Proportional to 32,012,827.80, 47,956,256.10 and 19,195,258.20

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Solution

The fourth proportional to 32,012,827.80, 47,956,256.10 and 19,195,258.20 is: 28,755,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012,827.80 : 47,956,256.10 = 19,195,258.20 : x
  2. Step 2: Convert to fraction form
    32,012,827.80/47,956,256.10 = 19,195,258.20/x
  3. Step 3: Cross multiply
    32,012,827.80x = 47,956,256.10 × 19,195,258.20
  4. Step 4: Simplify right side
    32,012,827.80x = 920,532,718,144,825
  5. Step 5: Solve for x
    x = 920,532,718,144,825/32,012,827.80
  6. Step 6: Final answer
    x = 28,755,120.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.