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Finding the Fourth Proportional to 29,502.18, 40,713.48 and 16,074

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Solution

The fourth proportional to 29,502.18, 40,713.48 and 16,074 is: 22,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,502.18 : 40,713.48 = 16,074 : x
  2. Step 2: Convert to fraction form
    29,502.18/40,713.48 = 16,074/x
  3. Step 3: Cross multiply
    29,502.18x = 40,713.48 × 16,074
  4. Step 4: Simplify right side
    29,502.18x = 654,428,477.52
  5. Step 5: Solve for x
    x = 654,428,477.52/29,502.18
  6. Step 6: Final answer
    x = 22,182.38

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Why These Related Problems?

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