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Finding the Fourth Proportional to 29,486.49, 40,691.57 and 16,057.77

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Solution

The fourth proportional to 29,486.49, 40,691.57 and 16,057.77 is: 22,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,486.49 : 40,691.57 = 16,057.77 : x
  2. Step 2: Convert to fraction form
    29,486.49/40,691.57 = 16,057.77/x
  3. Step 3: Cross multiply
    29,486.49x = 40,691.57 × 16,057.77
  4. Step 4: Simplify right side
    29,486.49x = 653,415,791.71
  5. Step 5: Solve for x
    x = 653,415,791.71/29,486.49
  6. Step 6: Final answer
    x = 22,159.84

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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.