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Finding the Fourth Proportional to 37,580.52, 51,842.98 and 24,838.68

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Solution

The fourth proportional to 37,580.52, 51,842.98 and 24,838.68 is: 34,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.52 : 51,842.98 = 24,838.68 : x
  2. Step 2: Convert to fraction form
    37,580.52/51,842.98 = 24,838.68/x
  3. Step 3: Cross multiply
    37,580.52x = 51,842.98 × 24,838.68
  4. Step 4: Simplify right side
    37,580.52x = 1,287,711,190.47
  5. Step 5: Solve for x
    x = 1,287,711,190.47/37,580.52
  6. Step 6: Final answer
    x = 34,265.39

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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.