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Finding the Fourth Proportional to 78,242.28, 117,362.88 and 31,494.48

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Solution

The fourth proportional to 78,242.28, 117,362.88 and 31,494.48 is: 47,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,242.28 : 117,362.88 = 31,494.48 : x
  2. Step 2: Convert to fraction form
    78,242.28/117,362.88 = 31,494.48/x
  3. Step 3: Cross multiply
    78,242.28x = 117,362.88 × 31,494.48
  4. Step 4: Simplify right side
    78,242.28x = 3,696,282,876.90
  5. Step 5: Solve for x
    x = 3,696,282,876.90/78,242.28
  6. Step 6: Final answer
    x = 47,241.50

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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.