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Finding the Fourth Proportional to 58,188.42, 87,320.90 and 31,911.62

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Solution

The fourth proportional to 58,188.42, 87,320.90 and 31,911.62 is: 47,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,188.42 : 87,320.90 = 31,911.62 : x
  2. Step 2: Convert to fraction form
    58,188.42/87,320.90 = 31,911.62/x
  3. Step 3: Cross multiply
    58,188.42x = 87,320.90 × 31,911.62
  4. Step 4: Simplify right side
    58,188.42x = 2,786,551,022.03
  5. Step 5: Solve for x
    x = 2,786,551,022.03/58,188.42
  6. Step 6: Final answer
    x = 47,888.41

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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.