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Finding the Fourth Proportional to 48,264.92, 72,407.64 and 14,984.20

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Solution

The fourth proportional to 48,264.92, 72,407.64 and 14,984.20 is: 22,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,264.92 : 72,407.64 = 14,984.20 : x
  2. Step 2: Convert to fraction form
    48,264.92/72,407.64 = 14,984.20/x
  3. Step 3: Cross multiply
    48,264.92x = 72,407.64 × 14,984.20
  4. Step 4: Simplify right side
    48,264.92x = 1,084,970,559.29
  5. Step 5: Solve for x
    x = 1,084,970,559.29/48,264.92
  6. Step 6: Final answer
    x = 22,479.49

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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.