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Finding the Fourth Proportional to 48,407.20, 72,601.20 and 23,447.20

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Solution

The fourth proportional to 48,407.20, 72,601.20 and 23,447.20 is: 35,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,407.20 : 72,601.20 = 23,447.20 : x
  2. Step 2: Convert to fraction form
    48,407.20/72,601.20 = 23,447.20/x
  3. Step 3: Cross multiply
    48,407.20x = 72,601.20 × 23,447.20
  4. Step 4: Simplify right side
    48,407.20x = 1,702,294,856.64
  5. Step 5: Solve for x
    x = 1,702,294,856.64/48,407.20
  6. Step 6: Final answer
    x = 35,166.15

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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.