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Finding the Fourth Proportional to 78,085.58, 107,758.16 and 42,275.62

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Solution

The fourth proportional to 78,085.58, 107,758.16 and 42,275.62 is: 58,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,085.58 : 107,758.16 = 42,275.62 : x
  2. Step 2: Convert to fraction form
    78,085.58/107,758.16 = 42,275.62/x
  3. Step 3: Cross multiply
    78,085.58x = 107,758.16 × 42,275.62
  4. Step 4: Simplify right side
    78,085.58x = 4,555,543,165.36
  5. Step 5: Solve for x
    x = 4,555,543,165.36/78,085.58
  6. Step 6: Final answer
    x = 58,340.39

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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.