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Finding the Fourth Proportional to 78,078.37, 107,747.25 and 42,267.59

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Solution

The fourth proportional to 78,078.37, 107,747.25 and 42,267.59 is: 58,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.37 : 107,747.25 = 42,267.59 : x
  2. Step 2: Convert to fraction form
    78,078.37/107,747.25 = 42,267.59/x
  3. Step 3: Cross multiply
    78,078.37x = 107,747.25 × 42,267.59
  4. Step 4: Simplify right side
    78,078.37x = 4,554,216,586.63
  5. Step 5: Solve for x
    x = 4,554,216,586.63/78,078.37
  6. Step 6: Final answer
    x = 58,328.79

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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.