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Finding the Fourth Proportional to 78,085.98, 107,758.50 and 42,275.99

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Solution

The fourth proportional to 78,085.98, 107,758.50 and 42,275.99 is: 58,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,085.98 : 107,758.50 = 42,275.99 : x
  2. Step 2: Convert to fraction form
    78,085.98/107,758.50 = 42,275.99/x
  3. Step 3: Cross multiply
    78,085.98x = 107,758.50 × 42,275.99
  4. Step 4: Simplify right side
    78,085.98x = 4,555,596,729.62
  5. Step 5: Solve for x
    x = 4,555,596,729.62/78,085.98
  6. Step 6: Final answer
    x = 58,340.78

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