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Finding the Fourth Proportional to 38,718.50, 53,423.30 and 22,797.14

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Solution

The fourth proportional to 38,718.50, 53,423.30 and 22,797.14 is: 31,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,718.50 : 53,423.30 = 22,797.14 : x
  2. Step 2: Convert to fraction form
    38,718.50/53,423.30 = 22,797.14/x
  3. Step 3: Cross multiply
    38,718.50x = 53,423.30 × 22,797.14
  4. Step 4: Simplify right side
    38,718.50x = 1,217,898,335.38
  5. Step 5: Solve for x
    x = 1,217,898,335.38/38,718.50
  6. Step 6: Final answer
    x = 31,455.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.