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Finding the Fourth Proportional to 38,547.80, 57,823.30 and 12,251.80

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Solution

The fourth proportional to 38,547.80, 57,823.30 and 12,251.80 is: 18,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,547.80 : 57,823.30 = 12,251.80 : x
  2. Step 2: Convert to fraction form
    38,547.80/57,823.30 = 12,251.80/x
  3. Step 3: Cross multiply
    38,547.80x = 57,823.30 × 12,251.80
  4. Step 4: Simplify right side
    38,547.80x = 708,439,506.94
  5. Step 5: Solve for x
    x = 708,439,506.94/38,547.80
  6. Step 6: Final answer
    x = 18,378.21

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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.