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Finding the Fourth Proportional to 32,001.64, 44,162.13 and 17,854.50

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Solution

The fourth proportional to 32,001.64, 44,162.13 and 17,854.50 is: 24,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.64 : 44,162.13 = 17,854.50 : x
  2. Step 2: Convert to fraction form
    32,001.64/44,162.13 = 17,854.50/x
  3. Step 3: Cross multiply
    32,001.64x = 44,162.13 × 17,854.50
  4. Step 4: Simplify right side
    32,001.64x = 788,492,750.09
  5. Step 5: Solve for x
    x = 788,492,750.09/32,001.64
  6. Step 6: Final answer
    x = 24,639.14

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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.