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Finding the Fourth Proportional to 61,494.80, 84,831.72 and 47,342.48

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Solution

The fourth proportional to 61,494.80, 84,831.72 and 47,342.48 is: 65,308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,494.80 : 84,831.72 = 47,342.48 : x
  2. Step 2: Convert to fraction form
    61,494.80/84,831.72 = 47,342.48/x
  3. Step 3: Cross multiply
    61,494.80x = 84,831.72 × 47,342.48
  4. Step 4: Simplify right side
    61,494.80x = 4,016,144,007.47
  5. Step 5: Solve for x
    x = 4,016,144,007.47/61,494.80
  6. Step 6: Final answer
    x = 65,308.68

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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.