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Finding the Fourth Proportional to 70,119.89, 96,766.46 and 38,288.10

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Solution

The fourth proportional to 70,119.89, 96,766.46 and 38,288.10 is: 52,838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,119.89 : 96,766.46 = 38,288.10 : x
  2. Step 2: Convert to fraction form
    70,119.89/96,766.46 = 38,288.10/x
  3. Step 3: Cross multiply
    70,119.89x = 96,766.46 × 38,288.10
  4. Step 4: Simplify right side
    70,119.89x = 3,705,003,897.13
  5. Step 5: Solve for x
    x = 3,705,003,897.13/70,119.89
  6. Step 6: Final answer
    x = 52,838.13

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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.