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Finding the Fourth Proportional to 78,374.20, 117,572.10 and 28,442.20

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Solution

The fourth proportional to 78,374.20, 117,572.10 and 28,442.20 is: 42,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374.20 : 117,572.10 = 28,442.20 : x
  2. Step 2: Convert to fraction form
    78,374.20/117,572.10 = 28,442.20/x
  3. Step 3: Cross multiply
    78,374.20x = 117,572.10 × 28,442.20
  4. Step 4: Simplify right side
    78,374.20x = 3,344,009,182.62
  5. Step 5: Solve for x
    x = 3,344,009,182.62/78,374.20
  6. Step 6: Final answer
    x = 42,667.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.