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Finding the Fourth Proportional to 69,833.32, 96,371.70 and 38,003.96

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Solution

The fourth proportional to 69,833.32, 96,371.70 and 38,003.96 is: 52,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,833.32 : 96,371.70 = 38,003.96 : x
  2. Step 2: Convert to fraction form
    69,833.32/96,371.70 = 38,003.96/x
  3. Step 3: Cross multiply
    69,833.32x = 96,371.70 × 38,003.96
  4. Step 4: Simplify right side
    69,833.32x = 3,662,506,231.93
  5. Step 5: Solve for x
    x = 3,662,506,231.93/69,833.32
  6. Step 6: Final answer
    x = 52,446.40

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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.