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Finding the Fourth Proportional to 48,947.64, 73,385.54 and 15,648.54

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Solution

The fourth proportional to 48,947.64, 73,385.54 and 15,648.54 is: 23,461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,947.64 : 73,385.54 = 15,648.54 : x
  2. Step 2: Convert to fraction form
    48,947.64/73,385.54 = 15,648.54/x
  3. Step 3: Cross multiply
    48,947.64x = 73,385.54 × 15,648.54
  4. Step 4: Simplify right side
    48,947.64x = 1,148,376,191.18
  5. Step 5: Solve for x
    x = 1,148,376,191.18/48,947.64
  6. Step 6: Final answer
    x = 23,461.32

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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.