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Finding the Fourth Proportional to 78,776.68, 108,710.22 and 42,967

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Solution

The fourth proportional to 78,776.68, 108,710.22 and 42,967 is: 59,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,776.68 : 108,710.22 = 42,967 : x
  2. Step 2: Convert to fraction form
    78,776.68/108,710.22 = 42,967/x
  3. Step 3: Cross multiply
    78,776.68x = 108,710.22 × 42,967
  4. Step 4: Simplify right side
    78,776.68x = 4,670,952,022.74
  5. Step 5: Solve for x
    x = 4,670,952,022.74/78,776.68
  6. Step 6: Final answer
    x = 59,293.59

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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.