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Finding the Fourth Proportional to 29,499.49, 40,709.76 and 16,070.74

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Solution

The fourth proportional to 29,499.49, 40,709.76 and 16,070.74 is: 22,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,499.49 : 40,709.76 = 16,070.74 : x
  2. Step 2: Convert to fraction form
    29,499.49/40,709.76 = 16,070.74/x
  3. Step 3: Cross multiply
    29,499.49x = 40,709.76 × 16,070.74
  4. Step 4: Simplify right side
    29,499.49x = 654,235,806.38
  5. Step 5: Solve for x
    x = 654,235,806.38/29,499.49
  6. Step 6: Final answer
    x = 22,177.87

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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.