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Finding the Fourth Proportional to 97,382, 134,387.17 and 52,670

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Solution

The fourth proportional to 97,382, 134,387.17 and 52,670 is: 72,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,382 : 134,387.17 = 52,670 : x
  2. Step 2: Convert to fraction form
    97,382/134,387.17 = 52,670/x
  3. Step 3: Cross multiply
    97,382x = 134,387.17 × 52,670
  4. Step 4: Simplify right side
    97,382x = 7,078,172,243.90
  5. Step 5: Solve for x
    x = 7,078,172,243.90/97,382
  6. Step 6: Final answer
    x = 72,684.61

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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.