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Finding the Fourth Proportional to 70,442.48, 97,211.16 and 38,614.16

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Solution

The fourth proportional to 70,442.48, 97,211.16 and 38,614.16 is: 53,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,442.48 : 97,211.16 = 38,614.16 : x
  2. Step 2: Convert to fraction form
    70,442.48/97,211.16 = 38,614.16/x
  3. Step 3: Cross multiply
    70,442.48x = 97,211.16 × 38,614.16
  4. Step 4: Simplify right side
    70,442.48x = 3,753,727,286.03
  5. Step 5: Solve for x
    x = 3,753,727,286.03/70,442.48
  6. Step 6: Final answer
    x = 53,287.84

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1.5x scale

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.