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Finding the Fourth Proportional to 82,359, 123,585.21 and 37,985.78

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Solution

The fourth proportional to 82,359, 123,585.21 and 37,985.78 is: 57,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,359 : 123,585.21 = 37,985.78 : x
  2. Step 2: Convert to fraction form
    82,359/123,585.21 = 37,985.78/x
  3. Step 3: Cross multiply
    82,359x = 123,585.21 × 37,985.78
  4. Step 4: Simplify right side
    82,359x = 4,694,480,907.28
  5. Step 5: Solve for x
    x = 4,694,480,907.28/82,359
  6. Step 6: Final answer
    x = 57,000.22

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