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Finding the Fourth Proportional to 69,875.20, 96,423.88 and 38,042.20

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Solution

The fourth proportional to 69,875.20, 96,423.88 and 38,042.20 is: 52,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,875.20 : 96,423.88 = 38,042.20 : x
  2. Step 2: Convert to fraction form
    69,875.20/96,423.88 = 38,042.20/x
  3. Step 3: Cross multiply
    69,875.20x = 96,423.88 × 38,042.20
  4. Step 4: Simplify right side
    69,875.20x = 3,668,176,527.74
  5. Step 5: Solve for x
    x = 3,668,176,527.74/69,875.20
  6. Step 6: Final answer
    x = 52,496.11

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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.