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Finding the Fourth Proportional to 67,681.44, 93,398.36 and 37,468

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Solution

The fourth proportional to 67,681.44, 93,398.36 and 37,468 is: 51,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,681.44 : 93,398.36 = 37,468 : x
  2. Step 2: Convert to fraction form
    67,681.44/93,398.36 = 37,468/x
  3. Step 3: Cross multiply
    67,681.44x = 93,398.36 × 37,468
  4. Step 4: Simplify right side
    67,681.44x = 3,499,449,752.48
  5. Step 5: Solve for x
    x = 3,499,449,752.48/67,681.44
  6. Step 6: Final answer
    x = 51,704.72

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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.