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Finding the Fourth Proportional to 70,167.42, 96,831.14 and 39,952.75

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Solution

The fourth proportional to 70,167.42, 96,831.14 and 39,952.75 is: 55,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,167.42 : 96,831.14 = 39,952.75 : x
  2. Step 2: Convert to fraction form
    70,167.42/96,831.14 = 39,952.75/x
  3. Step 3: Cross multiply
    70,167.42x = 96,831.14 × 39,952.75
  4. Step 4: Simplify right side
    70,167.42x = 3,868,670,328.64
  5. Step 5: Solve for x
    x = 3,868,670,328.64/70,167.42
  6. Step 6: Final answer
    x = 55,134.85

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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.