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Finding the Fourth Proportional to 70,160.38, 96,816.24 and 38,322.52

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Solution

The fourth proportional to 70,160.38, 96,816.24 and 38,322.52 is: 52,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,160.38 : 96,816.24 = 38,322.52 : x
  2. Step 2: Convert to fraction form
    70,160.38/96,816.24 = 38,322.52/x
  3. Step 3: Cross multiply
    70,160.38x = 96,816.24 × 38,322.52
  4. Step 4: Simplify right side
    70,160.38x = 3,710,242,293.72
  5. Step 5: Solve for x
    x = 3,710,242,293.72/70,160.38
  6. Step 6: Final answer
    x = 52,882.30

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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.