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Finding the Fourth Proportional to 30,913.92, 42,614.70 and 24,187.87

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Solution

The fourth proportional to 30,913.92, 42,614.70 and 24,187.87 is: 33,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.92 : 42,614.70 = 24,187.87 : x
  2. Step 2: Convert to fraction form
    30,913.92/42,614.70 = 24,187.87/x
  3. Step 3: Cross multiply
    30,913.92x = 42,614.70 × 24,187.87
  4. Step 4: Simplify right side
    30,913.92x = 1,030,758,823.69
  5. Step 5: Solve for x
    x = 1,030,758,823.69/30,913.92
  6. Step 6: Final answer
    x = 33,342.87

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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.