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Finding the Fourth Proportional to 58,204.88, 87,345.52 and 31,928

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Solution

The fourth proportional to 58,204.88, 87,345.52 and 31,928 is: 47,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,204.88 : 87,345.52 = 31,928 : x
  2. Step 2: Convert to fraction form
    58,204.88/87,345.52 = 31,928/x
  3. Step 3: Cross multiply
    58,204.88x = 87,345.52 × 31,928
  4. Step 4: Simplify right side
    58,204.88x = 2,788,767,762.56
  5. Step 5: Solve for x
    x = 2,788,767,762.56/58,204.88
  6. Step 6: Final answer
    x = 47,912.95

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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.