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Finding the Fourth Proportional to 75,894.52, 113,831.08 and 47,728.72

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Solution

The fourth proportional to 75,894.52, 113,831.08 and 47,728.72 is: 71,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894.52 : 113,831.08 = 47,728.72 : x
  2. Step 2: Convert to fraction form
    75,894.52/113,831.08 = 47,728.72/x
  3. Step 3: Cross multiply
    75,894.52x = 113,831.08 × 47,728.72
  4. Step 4: Simplify right side
    75,894.52x = 5,433,011,744.62
  5. Step 5: Solve for x
    x = 5,433,011,744.62/75,894.52
  6. Step 6: Final answer
    x = 71,586.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.