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Finding the Fourth Proportional to 78,671.86, 108,567.18 and 42,861.87

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Solution

The fourth proportional to 78,671.86, 108,567.18 and 42,861.87 is: 59,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,671.86 : 108,567.18 = 42,861.87 : x
  2. Step 2: Convert to fraction form
    78,671.86/108,567.18 = 42,861.87/x
  3. Step 3: Cross multiply
    78,671.86x = 108,567.18 × 42,861.87
  4. Step 4: Simplify right side
    78,671.86x = 4,653,392,113.34
  5. Step 5: Solve for x
    x = 4,653,392,113.34/78,671.86
  6. Step 6: Final answer
    x = 59,149.39

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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.