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Finding the Fourth Proportional to 42,288.71, 58,357.64 and 24,384.47

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Solution

The fourth proportional to 42,288.71, 58,357.64 and 24,384.47 is: 33,650.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,288.71 : 58,357.64 = 24,384.47 : x
  2. Step 2: Convert to fraction form
    42,288.71/58,357.64 = 24,384.47/x
  3. Step 3: Cross multiply
    42,288.71x = 58,357.64 × 24,384.47
  4. Step 4: Simplify right side
    42,288.71x = 1,423,020,121.85
  5. Step 5: Solve for x
    x = 1,423,020,121.85/42,288.71
  6. Step 6: Final answer
    x = 33,650.12

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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.