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Finding the Fourth Proportional to 82,291.68, 123,437.70 and 29,738.28

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Solution

The fourth proportional to 82,291.68, 123,437.70 and 29,738.28 is: 44,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,291.68 : 123,437.70 = 29,738.28 : x
  2. Step 2: Convert to fraction form
    82,291.68/123,437.70 = 29,738.28/x
  3. Step 3: Cross multiply
    82,291.68x = 123,437.70 × 29,738.28
  4. Step 4: Simplify right side
    82,291.68x = 3,670,824,885.16
  5. Step 5: Solve for x
    x = 3,670,824,885.16/82,291.68
  6. Step 6: Final answer
    x = 44,607.49

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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.