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Finding the Fourth Proportional to 52,851.64, 79,239.80 and 24,756.28

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Solution

The fourth proportional to 52,851.64, 79,239.80 and 24,756.28 is: 37,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,851.64 : 79,239.80 = 24,756.28 : x
  2. Step 2: Convert to fraction form
    52,851.64/79,239.80 = 24,756.28/x
  3. Step 3: Cross multiply
    52,851.64x = 79,239.80 × 24,756.28
  4. Step 4: Simplify right side
    52,851.64x = 1,961,682,675.94
  5. Step 5: Solve for x
    x = 1,961,682,675.94/52,851.64
  6. Step 6: Final answer
    x = 37,116.78

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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.