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Finding the Fourth Proportional to 52,508.50, 78,799.23 and 21,343.78

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Solution

The fourth proportional to 52,508.50, 78,799.23 and 21,343.78 is: 32,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,508.50 : 78,799.23 = 21,343.78 : x
  2. Step 2: Convert to fraction form
    52,508.50/78,799.23 = 21,343.78/x
  3. Step 3: Cross multiply
    52,508.50x = 78,799.23 × 21,343.78
  4. Step 4: Simplify right side
    52,508.50x = 1,681,873,429.29
  5. Step 5: Solve for x
    x = 1,681,873,429.29/52,508.50
  6. Step 6: Final answer
    x = 32,030.50

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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.