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Finding the Fourth Proportional to 127,753.76, 191,630.64 and 48,892.16

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Solution

The fourth proportional to 127,753.76, 191,630.64 and 48,892.16 is: 73,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,753.76 : 191,630.64 = 48,892.16 : x
  2. Step 2: Convert to fraction form
    127,753.76/191,630.64 = 48,892.16/x
  3. Step 3: Cross multiply
    127,753.76x = 191,630.64 × 48,892.16
  4. Step 4: Simplify right side
    127,753.76x = 9,369,235,911.78
  5. Step 5: Solve for x
    x = 9,369,235,911.78/127,753.76
  6. Step 6: Final answer
    x = 73,338.24

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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.