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Finding the Fourth Proportional to 78,375.95, 108,159.80 and 42,566.56

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Solution

The fourth proportional to 78,375.95, 108,159.80 and 42,566.56 is: 58,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,375.95 : 108,159.80 = 42,566.56 : x
  2. Step 2: Convert to fraction form
    78,375.95/108,159.80 = 42,566.56/x
  3. Step 3: Cross multiply
    78,375.95x = 108,159.80 × 42,566.56
  4. Step 4: Simplify right side
    78,375.95x = 4,603,990,509.87
  5. Step 5: Solve for x
    x = 4,603,990,509.87/78,375.95
  6. Step 6: Final answer
    x = 58,742.39

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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.