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Finding the Fourth Proportional to 32,001.80, 44,162.51 and 17,854.64

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Solution

The fourth proportional to 32,001.80, 44,162.51 and 17,854.64 is: 24,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.80 : 44,162.51 = 17,854.64 : x
  2. Step 2: Convert to fraction form
    32,001.80/44,162.51 = 17,854.64/x
  3. Step 3: Cross multiply
    32,001.80x = 44,162.51 × 17,854.64
  4. Step 4: Simplify right side
    32,001.80x = 788,505,407.46
  5. Step 5: Solve for x
    x = 788,505,407.46/32,001.80
  6. Step 6: Final answer
    x = 24,639.41

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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.