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Finding the Fourth Proportional to 67,678.70, 93,395.24 and 37,464

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Solution

The fourth proportional to 67,678.70, 93,395.24 and 37,464 is: 51,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,678.70 : 93,395.24 = 37,464 : x
  2. Step 2: Convert to fraction form
    67,678.70/93,395.24 = 37,464/x
  3. Step 3: Cross multiply
    67,678.70x = 93,395.24 × 37,464
  4. Step 4: Simplify right side
    67,678.70x = 3,498,959,084.04
  5. Step 5: Solve for x
    x = 3,498,959,084.04/67,678.70
  6. Step 6: Final answer
    x = 51,699.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.