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Finding the Fourth Proportional to 47,978.08, 71,971.92 and 14,697.76

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Solution

The fourth proportional to 47,978.08, 71,971.92 and 14,697.76 is: 22,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.08 : 71,971.92 = 14,697.76 : x
  2. Step 2: Convert to fraction form
    47,978.08/71,971.92 = 14,697.76/x
  3. Step 3: Cross multiply
    47,978.08x = 71,971.92 × 14,697.76
  4. Step 4: Simplify right side
    47,978.08x = 1,057,826,006.90
  5. Step 5: Solve for x
    x = 1,057,826,006.90/47,978.08
  6. Step 6: Final answer
    x = 22,048.11

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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.