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Finding the Fourth Proportional to 48,978.60, 73,478.70 and 15,700.20

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Solution

The fourth proportional to 48,978.60, 73,478.70 and 15,700.20 is: 23,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.60 : 73,478.70 = 15,700.20 : x
  2. Step 2: Convert to fraction form
    48,978.60/73,478.70 = 15,700.20/x
  3. Step 3: Cross multiply
    48,978.60x = 73,478.70 × 15,700.20
  4. Step 4: Simplify right side
    48,978.60x = 1,153,630,285.74
  5. Step 5: Solve for x
    x = 1,153,630,285.74/48,978.60
  6. Step 6: Final answer
    x = 23,553.76

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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.