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Finding the Fourth Proportional to 32,750.89, 49,129.42 and 9,057.48

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Solution

The fourth proportional to 32,750.89, 49,129.42 and 9,057.48 is: 13,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,750.89 : 49,129.42 = 9,057.48 : x
  2. Step 2: Convert to fraction form
    32,750.89/49,129.42 = 9,057.48/x
  3. Step 3: Cross multiply
    32,750.89x = 49,129.42 × 9,057.48
  4. Step 4: Simplify right side
    32,750.89x = 444,988,739.06
  5. Step 5: Solve for x
    x = 444,988,739.06/32,750.89
  6. Step 6: Final answer
    x = 13,587.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.