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Finding the Fourth Proportional to 69,831.92, 96,367.80 and 38,000.24

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Solution

The fourth proportional to 69,831.92, 96,367.80 and 38,000.24 is: 52,440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,831.92 : 96,367.80 = 38,000.24 : x
  2. Step 2: Convert to fraction form
    69,831.92/96,367.80 = 38,000.24/x
  3. Step 3: Cross multiply
    69,831.92x = 96,367.80 × 38,000.24
  4. Step 4: Simplify right side
    69,831.92x = 3,661,999,528.27
  5. Step 5: Solve for x
    x = 3,661,999,528.27/69,831.92
  6. Step 6: Final answer
    x = 52,440.20

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1.5x scale

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.