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Finding the Fourth Proportional to 52,850.68, 79,276.28 and 13,407.88

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Solution

The fourth proportional to 52,850.68, 79,276.28 and 13,407.88 is: 20,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,850.68 : 79,276.28 = 13,407.88 : x
  2. Step 2: Convert to fraction form
    52,850.68/79,276.28 = 13,407.88/x
  3. Step 3: Cross multiply
    52,850.68x = 79,276.28 × 13,407.88
  4. Step 4: Simplify right side
    52,850.68x = 1,062,926,849.09
  5. Step 5: Solve for x
    x = 1,062,926,849.09/52,850.68
  6. Step 6: Final answer
    x = 20,111.89

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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.