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Finding the Fourth Proportional to 53,728.66, 74,146.29 and 29,854.90

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Solution

The fourth proportional to 53,728.66, 74,146.29 and 29,854.90 is: 41,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,728.66 : 74,146.29 = 29,854.90 : x
  2. Step 2: Convert to fraction form
    53,728.66/74,146.29 = 29,854.90/x
  3. Step 3: Cross multiply
    53,728.66x = 74,146.29 × 29,854.90
  4. Step 4: Simplify right side
    53,728.66x = 2,213,630,073.32
  5. Step 5: Solve for x
    x = 2,213,630,073.32/53,728.66
  6. Step 6: Final answer
    x = 41,200.17

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