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Finding the Fourth Proportional to 77,663.20, 116,581.20 and 48,114.40

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Solution

The fourth proportional to 77,663.20, 116,581.20 and 48,114.40 is: 72,225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,663.20 : 116,581.20 = 48,114.40 : x
  2. Step 2: Convert to fraction form
    77,663.20/116,581.20 = 48,114.40/x
  3. Step 3: Cross multiply
    77,663.20x = 116,581.20 × 48,114.40
  4. Step 4: Simplify right side
    77,663.20x = 5,609,234,489.28
  5. Step 5: Solve for x
    x = 5,609,234,489.28/77,663.20
  6. Step 6: Final answer
    x = 72,225.13

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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.