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Finding the Fourth Proportional to 15,437.25, 23,155.88 and 5,049

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Solution

The fourth proportional to 15,437.25, 23,155.88 and 5,049 is: 7,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,437.25 : 23,155.88 = 5,049 : x
  2. Step 2: Convert to fraction form
    15,437.25/23,155.88 = 5,049/x
  3. Step 3: Cross multiply
    15,437.25x = 23,155.88 × 5,049
  4. Step 4: Simplify right side
    15,437.25x = 116,914,012.88
  5. Step 5: Solve for x
    x = 116,914,012.88/15,437.25
  6. Step 6: Final answer
    x = 7,573.50

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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.