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Finding the Fourth Proportional to 58,584.36, 87,876.54 and 16,462.74

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Solution

The fourth proportional to 58,584.36, 87,876.54 and 16,462.74 is: 24,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,584.36 : 87,876.54 = 16,462.74 : x
  2. Step 2: Convert to fraction form
    58,584.36/87,876.54 = 16,462.74/x
  3. Step 3: Cross multiply
    58,584.36x = 87,876.54 × 16,462.74
  4. Step 4: Simplify right side
    58,584.36x = 1,446,688,630.12
  5. Step 5: Solve for x
    x = 1,446,688,630.12/58,584.36
  6. Step 6: Final answer
    x = 24,694.11

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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.