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Finding the Fourth Proportional to 98,057.96, 147,101.52 and 45,472.76

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Solution

The fourth proportional to 98,057.96, 147,101.52 and 45,472.76 is: 68,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,057.96 : 147,101.52 = 45,472.76 : x
  2. Step 2: Convert to fraction form
    98,057.96/147,101.52 = 45,472.76/x
  3. Step 3: Cross multiply
    98,057.96x = 147,101.52 × 45,472.76
  4. Step 4: Simplify right side
    98,057.96x = 6,689,112,114.60
  5. Step 5: Solve for x
    x = 6,689,112,114.60/98,057.96
  6. Step 6: Final answer
    x = 68,215.90

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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.