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Finding the Fourth Proportional to 48,411.76, 72,627.72 and 15,130.48

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Solution

The fourth proportional to 48,411.76, 72,627.72 and 15,130.48 is: 22,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,411.76 : 72,627.72 = 15,130.48 : x
  2. Step 2: Convert to fraction form
    48,411.76/72,627.72 = 15,130.48/x
  3. Step 3: Cross multiply
    48,411.76x = 72,627.72 × 15,130.48
  4. Step 4: Simplify right side
    48,411.76x = 1,098,892,264.91
  5. Step 5: Solve for x
    x = 1,098,892,264.91/48,411.76
  6. Step 6: Final answer
    x = 22,698.87

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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.