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Finding the Fourth Proportional to 48,461.30, 72,575.31 and 32,831.54

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Solution

The fourth proportional to 48,461.30, 72,575.31 and 32,831.54 is: 49,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,461.30 : 72,575.31 = 32,831.54 : x
  2. Step 2: Convert to fraction form
    48,461.30/72,575.31 = 32,831.54/x
  3. Step 3: Cross multiply
    48,461.30x = 72,575.31 × 32,831.54
  4. Step 4: Simplify right side
    48,461.30x = 2,382,759,193.28
  5. Step 5: Solve for x
    x = 2,382,759,193.28/48,461.30
  6. Step 6: Final answer
    x = 49,168.29

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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.