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Finding the Fourth Proportional to 31,496.74, 47,253.23 and 11,775.44

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Solution

The fourth proportional to 31,496.74, 47,253.23 and 11,775.44 is: 17,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496.74 : 47,253.23 = 11,775.44 : x
  2. Step 2: Convert to fraction form
    31,496.74/47,253.23 = 11,775.44/x
  3. Step 3: Cross multiply
    31,496.74x = 47,253.23 × 11,775.44
  4. Step 4: Simplify right side
    31,496.74x = 556,427,574.67
  5. Step 5: Solve for x
    x = 556,427,574.67/31,496.74
  6. Step 6: Final answer
    x = 17,666.20

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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.