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Finding the Fourth Proportional to 32,006.30, 44,164.28 and 17,856.40

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Solution

The fourth proportional to 32,006.30, 44,164.28 and 17,856.40 is: 24,639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.30 : 44,164.28 = 17,856.40 : x
  2. Step 2: Convert to fraction form
    32,006.30/44,164.28 = 17,856.40/x
  3. Step 3: Cross multiply
    32,006.30x = 44,164.28 × 17,856.40
  4. Step 4: Simplify right side
    32,006.30x = 788,615,049.39
  5. Step 5: Solve for x
    x = 788,615,049.39/32,006.30
  6. Step 6: Final answer
    x = 24,639.37

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