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Finding the Fourth Proportional to 78,085.89, 107,758.59 and 42,275.93

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Solution

The fourth proportional to 78,085.89, 107,758.59 and 42,275.93 is: 58,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,085.89 : 107,758.59 = 42,275.93 : x
  2. Step 2: Convert to fraction form
    78,085.89/107,758.59 = 42,275.93/x
  3. Step 3: Cross multiply
    78,085.89x = 107,758.59 × 42,275.93
  4. Step 4: Simplify right side
    78,085.89x = 4,555,593,910.41
  5. Step 5: Solve for x
    x = 4,555,593,910.41/78,085.89
  6. Step 6: Final answer
    x = 58,340.81

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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.