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Finding the Fourth Proportional to 31,247.18, 46,871.07 and 7,873.62

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Solution

The fourth proportional to 31,247.18, 46,871.07 and 7,873.62 is: 11,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,247.18 : 46,871.07 = 7,873.62 : x
  2. Step 2: Convert to fraction form
    31,247.18/46,871.07 = 7,873.62/x
  3. Step 3: Cross multiply
    31,247.18x = 46,871.07 × 7,873.62
  4. Step 4: Simplify right side
    31,247.18x = 369,044,833.17
  5. Step 5: Solve for x
    x = 369,044,833.17/31,247.18
  6. Step 6: Final answer
    x = 11,810.50

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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.