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Finding the Fourth Proportional to 45,886.64, 68,802.96 and 24,551.24

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Solution

The fourth proportional to 45,886.64, 68,802.96 and 24,551.24 is: 36,812.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,886.64 : 68,802.96 = 24,551.24 : x
  2. Step 2: Convert to fraction form
    45,886.64/68,802.96 = 24,551.24/x
  3. Step 3: Cross multiply
    45,886.64x = 68,802.96 × 24,551.24
  4. Step 4: Simplify right side
    45,886.64x = 1,689,197,983.67
  5. Step 5: Solve for x
    x = 1,689,197,983.67/45,886.64
  6. Step 6: Final answer
    x = 36,812.41

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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.