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Finding the Fourth Proportional to 78,585.40, 117,906.52 and 48,564.50

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Solution

The fourth proportional to 78,585.40, 117,906.52 and 48,564.50 is: 72,864.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.40 : 117,906.52 = 48,564.50 : x
  2. Step 2: Convert to fraction form
    78,585.40/117,906.52 = 48,564.50/x
  3. Step 3: Cross multiply
    78,585.40x = 117,906.52 × 48,564.50
  4. Step 4: Simplify right side
    78,585.40x = 5,726,071,190.54
  5. Step 5: Solve for x
    x = 5,726,071,190.54/78,585.40
  6. Step 6: Final answer
    x = 72,864.31

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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.