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Finding the Fourth Proportional to 31,370.54, 47,055.52 and 7,678.18

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Solution

The fourth proportional to 31,370.54, 47,055.52 and 7,678.18 is: 11,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.54 : 47,055.52 = 7,678.18 : x
  2. Step 2: Convert to fraction form
    31,370.54/47,055.52 = 7,678.18/x
  3. Step 3: Cross multiply
    31,370.54x = 47,055.52 × 7,678.18
  4. Step 4: Simplify right side
    31,370.54x = 361,300,777.78
  5. Step 5: Solve for x
    x = 361,300,777.78/31,370.54
  6. Step 6: Final answer
    x = 11,517.20

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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.