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Finding the Fourth Proportional to 31,386.78, 47,080.23 and 7,694.43

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Solution

The fourth proportional to 31,386.78, 47,080.23 and 7,694.43 is: 11,541.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.78 : 47,080.23 = 7,694.43 : x
  2. Step 2: Convert to fraction form
    31,386.78/47,080.23 = 7,694.43/x
  3. Step 3: Cross multiply
    31,386.78x = 47,080.23 × 7,694.43
  4. Step 4: Simplify right side
    31,386.78x = 362,255,534.12
  5. Step 5: Solve for x
    x = 362,255,534.12/31,386.78
  6. Step 6: Final answer
    x = 11,541.66

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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.