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Finding the Fourth Proportional to 32,782.38, 45,241.47 and 24,810.54

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Solution

The fourth proportional to 32,782.38, 45,241.47 and 24,810.54 is: 34,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.38 : 45,241.47 = 24,810.54 : x
  2. Step 2: Convert to fraction form
    32,782.38/45,241.47 = 24,810.54/x
  3. Step 3: Cross multiply
    32,782.38x = 45,241.47 × 24,810.54
  4. Step 4: Simplify right side
    32,782.38x = 1,122,465,301.09
  5. Step 5: Solve for x
    x = 1,122,465,301.09/32,782.38
  6. Step 6: Final answer
    x = 34,239.90

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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.