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Finding the Fourth Proportional to 32,478.52, 48,723.70 and 10,297.48

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Solution

The fourth proportional to 32,478.52, 48,723.70 and 10,297.48 is: 15,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.52 : 48,723.70 = 10,297.48 : x
  2. Step 2: Convert to fraction form
    32,478.52/48,723.70 = 10,297.48/x
  3. Step 3: Cross multiply
    32,478.52x = 48,723.70 × 10,297.48
  4. Step 4: Simplify right side
    32,478.52x = 501,731,326.28
  5. Step 5: Solve for x
    x = 501,731,326.28/32,478.52
  6. Step 6: Final answer
    x = 15,448.10

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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.