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Finding the Fourth Proportional to 113,032.16, 169,554.72 and 29,924

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Solution

The fourth proportional to 113,032.16, 169,554.72 and 29,924 is: 44,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,032.16 : 169,554.72 = 29,924 : x
  2. Step 2: Convert to fraction form
    113,032.16/169,554.72 = 29,924/x
  3. Step 3: Cross multiply
    113,032.16x = 169,554.72 × 29,924
  4. Step 4: Simplify right side
    113,032.16x = 5,073,755,441.28
  5. Step 5: Solve for x
    x = 5,073,755,441.28/113,032.16
  6. Step 6: Final answer
    x = 44,887.72

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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.