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Finding the Fourth Proportional to 31,903.52, 47,862.08 and 9,718.68

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Solution

The fourth proportional to 31,903.52, 47,862.08 and 9,718.68 is: 14,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.52 : 47,862.08 = 9,718.68 : x
  2. Step 2: Convert to fraction form
    31,903.52/47,862.08 = 9,718.68/x
  3. Step 3: Cross multiply
    31,903.52x = 47,862.08 × 9,718.68
  4. Step 4: Simplify right side
    31,903.52x = 465,156,239.65
  5. Step 5: Solve for x
    x = 465,156,239.65/31,903.52
  6. Step 6: Final answer
    x = 14,580.09

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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.