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Finding the Fourth Proportional to 70,178.70, 96,845.45 and 38,346.92

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Solution

The fourth proportional to 70,178.70, 96,845.45 and 38,346.92 is: 52,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,178.70 : 96,845.45 = 38,346.92 : x
  2. Step 2: Convert to fraction form
    70,178.70/96,845.45 = 38,346.92/x
  3. Step 3: Cross multiply
    70,178.70x = 96,845.45 × 38,346.92
  4. Step 4: Simplify right side
    70,178.70x = 3,713,724,047.55
  5. Step 5: Solve for x
    x = 3,713,724,047.55/70,178.70
  6. Step 6: Final answer
    x = 52,918.11

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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.