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Finding the Fourth Proportional to 107,640.76, 161,502.14 and 48,462.82

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Solution

The fourth proportional to 107,640.76, 161,502.14 and 48,462.82 is: 72,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,640.76 : 161,502.14 = 48,462.82 : x
  2. Step 2: Convert to fraction form
    107,640.76/161,502.14 = 48,462.82/x
  3. Step 3: Cross multiply
    107,640.76x = 161,502.14 × 48,462.82
  4. Step 4: Simplify right side
    107,640.76x = 7,826,849,140.43
  5. Step 5: Solve for x
    x = 7,826,849,140.43/107,640.76
  6. Step 6: Final answer
    x = 72,712.69

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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.