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Finding the Fourth Proportional to 70,158.48, 96,825.38 and 38,332.16

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Solution

The fourth proportional to 70,158.48, 96,825.38 and 38,332.16 is: 52,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,158.48 : 96,825.38 = 38,332.16 : x
  2. Step 2: Convert to fraction form
    70,158.48/96,825.38 = 38,332.16/x
  3. Step 3: Cross multiply
    70,158.48x = 96,825.38 × 38,332.16
  4. Step 4: Simplify right side
    70,158.48x = 3,711,525,958.22
  5. Step 5: Solve for x
    x = 3,711,525,958.22/70,158.48
  6. Step 6: Final answer
    x = 52,902.03

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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.