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Finding the Fourth Proportional to 32,369.76, 44,672.16 and 18,223.20

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Solution

The fourth proportional to 32,369.76, 44,672.16 and 18,223.20 is: 25,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,369.76 : 44,672.16 = 18,223.20 : x
  2. Step 2: Convert to fraction form
    32,369.76/44,672.16 = 18,223.20/x
  3. Step 3: Cross multiply
    32,369.76x = 44,672.16 × 18,223.20
  4. Step 4: Simplify right side
    32,369.76x = 814,069,706.11
  5. Step 5: Solve for x
    x = 814,069,706.11/32,369.76
  6. Step 6: Final answer
    x = 25,149.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.