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Finding the Fourth Proportional to 87,578, 120,858.12 and 47,834

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Solution

The fourth proportional to 87,578, 120,858.12 and 47,834 is: 66,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,578 : 120,858.12 = 47,834 : x
  2. Step 2: Convert to fraction form
    87,578/120,858.12 = 47,834/x
  3. Step 3: Cross multiply
    87,578x = 120,858.12 × 47,834
  4. Step 4: Simplify right side
    87,578x = 5,781,127,312.08
  5. Step 5: Solve for x
    x = 5,781,127,312.08/87,578
  6. Step 6: Final answer
    x = 66,011.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.