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Finding the Fourth Proportional to 58,159.59, 87,239.82 and 31,849.98

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Solution

The fourth proportional to 58,159.59, 87,239.82 and 31,849.98 is: 47,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,159.59 : 87,239.82 = 31,849.98 : x
  2. Step 2: Convert to fraction form
    58,159.59/87,239.82 = 31,849.98/x
  3. Step 3: Cross multiply
    58,159.59x = 87,239.82 × 31,849.98
  4. Step 4: Simplify right side
    58,159.59x = 2,778,586,135.34
  5. Step 5: Solve for x
    x = 2,778,586,135.34/58,159.59
  6. Step 6: Final answer
    x = 47,775.20

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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.