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Finding the Fourth Proportional to 52,805.76, 79,212.48 and 17,731.20

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Solution

The fourth proportional to 52,805.76, 79,212.48 and 17,731.20 is: 26,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,805.76 : 79,212.48 = 17,731.20 : x
  2. Step 2: Convert to fraction form
    52,805.76/79,212.48 = 17,731.20/x
  3. Step 3: Cross multiply
    52,805.76x = 79,212.48 × 17,731.20
  4. Step 4: Simplify right side
    52,805.76x = 1,404,532,325.38
  5. Step 5: Solve for x
    x = 1,404,532,325.38/52,805.76
  6. Step 6: Final answer
    x = 26,598.09

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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.