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Finding the Fourth Proportional to 68,498.47, 94,527.54 and 38,283.78

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Solution

The fourth proportional to 68,498.47, 94,527.54 and 38,283.78 is: 52,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,498.47 : 94,527.54 = 38,283.78 : x
  2. Step 2: Convert to fraction form
    68,498.47/94,527.54 = 38,283.78/x
  3. Step 3: Cross multiply
    68,498.47x = 94,527.54 × 38,283.78
  4. Step 4: Simplify right side
    68,498.47x = 3,618,871,545.30
  5. Step 5: Solve for x
    x = 3,618,871,545.30/68,498.47
  6. Step 6: Final answer
    x = 52,831.42

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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.