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Finding the Fourth Proportional to 32,661.60, 45,071.76 and 17,757.60

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Solution

The fourth proportional to 32,661.60, 45,071.76 and 17,757.60 is: 24,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,661.60 : 45,071.76 = 17,757.60 : x
  2. Step 2: Convert to fraction form
    32,661.60/45,071.76 = 17,757.60/x
  3. Step 3: Cross multiply
    32,661.60x = 45,071.76 × 17,757.60
  4. Step 4: Simplify right side
    32,661.60x = 800,366,285.38
  5. Step 5: Solve for x
    x = 800,366,285.38/32,661.60
  6. Step 6: Final answer
    x = 24,504.81

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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.