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Finding the Fourth Proportional to 29,583.96, 44,371.14 and 9,862.68

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Solution

The fourth proportional to 29,583.96, 44,371.14 and 9,862.68 is: 14,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,583.96 : 44,371.14 = 9,862.68 : x
  2. Step 2: Convert to fraction form
    29,583.96/44,371.14 = 9,862.68/x
  3. Step 3: Cross multiply
    29,583.96x = 44,371.14 × 9,862.68
  4. Step 4: Simplify right side
    29,583.96x = 437,618,355.06
  5. Step 5: Solve for x
    x = 437,618,355.06/29,583.96
  6. Step 6: Final answer
    x = 14,792.42

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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.