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Finding the Fourth Proportional to 38,167.64, 52,685.38 and 28,719.80

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Solution

The fourth proportional to 38,167.64, 52,685.38 and 28,719.80 is: 39,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,167.64 : 52,685.38 = 28,719.80 : x
  2. Step 2: Convert to fraction form
    38,167.64/52,685.38 = 28,719.80/x
  3. Step 3: Cross multiply
    38,167.64x = 52,685.38 × 28,719.80
  4. Step 4: Simplify right side
    38,167.64x = 1,513,113,576.52
  5. Step 5: Solve for x
    x = 1,513,113,576.52/38,167.64
  6. Step 6: Final answer
    x = 39,643.89

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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.