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Finding the Fourth Proportional to 87,302.25, 120,477.12 and 47,558.25

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Solution

The fourth proportional to 87,302.25, 120,477.12 and 47,558.25 is: 65,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,302.25 : 120,477.12 = 47,558.25 : x
  2. Step 2: Convert to fraction form
    87,302.25/120,477.12 = 47,558.25/x
  3. Step 3: Cross multiply
    87,302.25x = 120,477.12 × 47,558.25
  4. Step 4: Simplify right side
    87,302.25x = 5,729,680,992.24
  5. Step 5: Solve for x
    x = 5,729,680,992.24/87,302.25
  6. Step 6: Final answer
    x = 65,630.39

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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.