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Finding the Fourth Proportional to 187,649.38, 281,473.98 and 47,407.96

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Solution

The fourth proportional to 187,649.38, 281,473.98 and 47,407.96 is: 71,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,649.38 : 281,473.98 = 47,407.96 : x
  2. Step 2: Convert to fraction form
    187,649.38/281,473.98 = 47,407.96/x
  3. Step 3: Cross multiply
    187,649.38x = 281,473.98 × 47,407.96
  4. Step 4: Simplify right side
    187,649.38x = 13,344,107,184.88
  5. Step 5: Solve for x
    x = 13,344,107,184.88/187,649.38
  6. Step 6: Final answer
    x = 71,111.92

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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.