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Finding the Fourth Proportional to 32,815.40, 45,285.24 and 17,911.40

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Solution

The fourth proportional to 32,815.40, 45,285.24 and 17,911.40 is: 24,717.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,815.40 : 45,285.24 = 17,911.40 : x
  2. Step 2: Convert to fraction form
    32,815.40/45,285.24 = 17,911.40/x
  3. Step 3: Cross multiply
    32,815.40x = 45,285.24 × 17,911.40
  4. Step 4: Simplify right side
    32,815.40x = 811,122,047.74
  5. Step 5: Solve for x
    x = 811,122,047.74/32,815.40
  6. Step 6: Final answer
    x = 24,717.73

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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.