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Finding the Fourth Proportional to 37,314, 55,970.96 and 25,591.68

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Solution

The fourth proportional to 37,314, 55,970.96 and 25,591.68 is: 38,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,314 : 55,970.96 = 25,591.68 : x
  2. Step 2: Convert to fraction form
    37,314/55,970.96 = 25,591.68/x
  3. Step 3: Cross multiply
    37,314x = 55,970.96 × 25,591.68
  4. Step 4: Simplify right side
    37,314x = 1,432,390,897.61
  5. Step 5: Solve for x
    x = 1,432,390,897.61/37,314
  6. Step 6: Final answer
    x = 38,387.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.