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Finding the Fourth Proportional to 78,314.74, 108,074.44 and 42,504.75

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Solution

The fourth proportional to 78,314.74, 108,074.44 and 42,504.75 is: 58,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,314.74 : 108,074.44 = 42,504.75 : x
  2. Step 2: Convert to fraction form
    78,314.74/108,074.44 = 42,504.75/x
  3. Step 3: Cross multiply
    78,314.74x = 108,074.44 × 42,504.75
  4. Step 4: Simplify right side
    78,314.74x = 4,593,677,053.59
  5. Step 5: Solve for x
    x = 4,593,677,053.59/78,314.74
  6. Step 6: Final answer
    x = 58,656.61

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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.