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Finding the Fourth Proportional to 31,229.70, 46,844.57 and 7,856.13

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Solution

The fourth proportional to 31,229.70, 46,844.57 and 7,856.13 is: 11,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.70 : 46,844.57 = 7,856.13 : x
  2. Step 2: Convert to fraction form
    31,229.70/46,844.57 = 7,856.13/x
  3. Step 3: Cross multiply
    31,229.70x = 46,844.57 × 7,856.13
  4. Step 4: Simplify right side
    31,229.70x = 368,017,031.71
  5. Step 5: Solve for x
    x = 368,017,031.71/31,229.70
  6. Step 6: Final answer
    x = 11,784.20

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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.