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Finding the Fourth Proportional to 76,216.65, 105,177.55 and 42,224.39

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Solution

The fourth proportional to 76,216.65, 105,177.55 and 42,224.39 is: 58,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,216.65 : 105,177.55 = 42,224.39 : x
  2. Step 2: Convert to fraction form
    76,216.65/105,177.55 = 42,224.39/x
  3. Step 3: Cross multiply
    76,216.65x = 105,177.55 × 42,224.39
  4. Step 4: Simplify right side
    76,216.65x = 4,441,058,091.35
  5. Step 5: Solve for x
    x = 4,441,058,091.35/76,216.65
  6. Step 6: Final answer
    x = 58,268.87

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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.