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Finding the Fourth Proportional to 58,142.97, 80,230.68 and 32,645.93

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Solution

The fourth proportional to 58,142.97, 80,230.68 and 32,645.93 is: 45,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,142.97 : 80,230.68 = 32,645.93 : x
  2. Step 2: Convert to fraction form
    58,142.97/80,230.68 = 32,645.93/x
  3. Step 3: Cross multiply
    58,142.97x = 80,230.68 × 32,645.93
  4. Step 4: Simplify right side
    58,142.97x = 2,619,204,761.98
  5. Step 5: Solve for x
    x = 2,619,204,761.98/58,142.97
  6. Step 6: Final answer
    x = 45,047.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.