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Finding the Fourth Proportional to 96,027.92, 144,070.72 and 45,465.50

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Solution

The fourth proportional to 96,027.92, 144,070.72 and 45,465.50 is: 68,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,027.92 : 144,070.72 = 45,465.50 : x
  2. Step 2: Convert to fraction form
    96,027.92/144,070.72 = 45,465.50/x
  3. Step 3: Cross multiply
    96,027.92x = 144,070.72 × 45,465.50
  4. Step 4: Simplify right side
    96,027.92x = 6,550,247,320.16
  5. Step 5: Solve for x
    x = 6,550,247,320.16/96,027.92
  6. Step 6: Final answer
    x = 68,211.90

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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.