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Finding the Fourth Proportional to 32,671.56, 49,010.08 and 9,298

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Solution

The fourth proportional to 32,671.56, 49,010.08 and 9,298 is: 13,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671.56 : 49,010.08 = 9,298 : x
  2. Step 2: Convert to fraction form
    32,671.56/49,010.08 = 9,298/x
  3. Step 3: Cross multiply
    32,671.56x = 49,010.08 × 9,298
  4. Step 4: Simplify right side
    32,671.56x = 455,695,723.84
  5. Step 5: Solve for x
    x = 455,695,723.84/32,671.56
  6. Step 6: Final answer
    x = 13,947.78

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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.