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Finding the Fourth Proportional to 46,251.84, 69,388.56 and 15,087

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Solution

The fourth proportional to 46,251.84, 69,388.56 and 15,087 is: 22,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,251.84 : 69,388.56 = 15,087 : x
  2. Step 2: Convert to fraction form
    46,251.84/69,388.56 = 15,087/x
  3. Step 3: Cross multiply
    46,251.84x = 69,388.56 × 15,087
  4. Step 4: Simplify right side
    46,251.84x = 1,046,865,204.72
  5. Step 5: Solve for x
    x = 1,046,865,204.72/46,251.84
  6. Step 6: Final answer
    x = 22,634.02

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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.