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Finding the Fourth Proportional to 32,039.56, 48,029.10 and 15,409

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Solution

The fourth proportional to 32,039.56, 48,029.10 and 15,409 is: 23,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.56 : 48,029.10 = 15,409 : x
  2. Step 2: Convert to fraction form
    32,039.56/48,029.10 = 15,409/x
  3. Step 3: Cross multiply
    32,039.56x = 48,029.10 × 15,409
  4. Step 4: Simplify right side
    32,039.56x = 740,080,401.90
  5. Step 5: Solve for x
    x = 740,080,401.90/32,039.56
  6. Step 6: Final answer
    x = 23,098.96

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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.