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Finding the Fourth Proportional to 31,566.78, 47,352.74 and 9,380.18

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Solution

The fourth proportional to 31,566.78, 47,352.74 and 9,380.18 is: 14,071.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.78 : 47,352.74 = 9,380.18 : x
  2. Step 2: Convert to fraction form
    31,566.78/47,352.74 = 9,380.18/x
  3. Step 3: Cross multiply
    31,566.78x = 47,352.74 × 9,380.18
  4. Step 4: Simplify right side
    31,566.78x = 444,177,172.89
  5. Step 5: Solve for x
    x = 444,177,172.89/31,566.78
  6. Step 6: Final answer
    x = 14,071.03

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Why These Related Problems?

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