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Finding the Fourth Proportional to 52,248.80, 78,378.66 and 17,191.22

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Solution

The fourth proportional to 52,248.80, 78,378.66 and 17,191.22 is: 25,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,248.80 : 78,378.66 = 17,191.22 : x
  2. Step 2: Convert to fraction form
    52,248.80/78,378.66 = 17,191.22/x
  3. Step 3: Cross multiply
    52,248.80x = 78,378.66 × 17,191.22
  4. Step 4: Simplify right side
    52,248.80x = 1,347,424,787.37
  5. Step 5: Solve for x
    x = 1,347,424,787.37/52,248.80
  6. Step 6: Final answer
    x = 25,788.63

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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.