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Finding the Fourth Proportional to 58,462.65, 87,694.19 and 16,342.47

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Solution

The fourth proportional to 58,462.65, 87,694.19 and 16,342.47 is: 24,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,462.65 : 87,694.19 = 16,342.47 : x
  2. Step 2: Convert to fraction form
    58,462.65/87,694.19 = 16,342.47/x
  3. Step 3: Cross multiply
    58,462.65x = 87,694.19 × 16,342.47
  4. Step 4: Simplify right side
    58,462.65x = 1,433,139,587.54
  5. Step 5: Solve for x
    x = 1,433,139,587.54/58,462.65
  6. Step 6: Final answer
    x = 24,513.76

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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.