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Finding the Fourth Proportional to 29,512.29, 44,258.86 and 9,785.55

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Solution

The fourth proportional to 29,512.29, 44,258.86 and 9,785.55 is: 14,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,512.29 : 44,258.86 = 9,785.55 : x
  2. Step 2: Convert to fraction form
    29,512.29/44,258.86 = 9,785.55/x
  3. Step 3: Cross multiply
    29,512.29x = 44,258.86 × 9,785.55
  4. Step 4: Simplify right side
    29,512.29x = 433,097,287.47
  5. Step 5: Solve for x
    x = 433,097,287.47/29,512.29
  6. Step 6: Final answer
    x = 14,675.15

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