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Finding the Fourth Proportional to 32,398.32, 44,708.54 and 19,652.96

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Solution

The fourth proportional to 32,398.32, 44,708.54 and 19,652.96 is: 27,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398.32 : 44,708.54 = 19,652.96 : x
  2. Step 2: Convert to fraction form
    32,398.32/44,708.54 = 19,652.96/x
  3. Step 3: Cross multiply
    32,398.32x = 44,708.54 × 19,652.96
  4. Step 4: Simplify right side
    32,398.32x = 878,655,148.28
  5. Step 5: Solve for x
    x = 878,655,148.28/32,398.32
  6. Step 6: Final answer
    x = 27,120.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.