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Finding the Fourth Proportional to 58,172.84, 87,186.08 and 31,517.82

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Solution

The fourth proportional to 58,172.84, 87,186.08 and 31,517.82 is: 47,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,172.84 : 87,186.08 = 31,517.82 : x
  2. Step 2: Convert to fraction form
    58,172.84/87,186.08 = 31,517.82/x
  3. Step 3: Cross multiply
    58,172.84x = 87,186.08 × 31,517.82
  4. Step 4: Simplify right side
    58,172.84x = 2,747,915,175.95
  5. Step 5: Solve for x
    x = 2,747,915,175.95/58,172.84
  6. Step 6: Final answer
    x = 47,237.08

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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.