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Finding the Fourth Proportional to 32,065.71, 48,090.31 and 15,182.07

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Solution

The fourth proportional to 32,065.71, 48,090.31 and 15,182.07 is: 22,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.71 : 48,090.31 = 15,182.07 : x
  2. Step 2: Convert to fraction form
    32,065.71/48,090.31 = 15,182.07/x
  3. Step 3: Cross multiply
    32,065.71x = 48,090.31 × 15,182.07
  4. Step 4: Simplify right side
    32,065.71x = 730,110,452.74
  5. Step 5: Solve for x
    x = 730,110,452.74/32,065.71
  6. Step 6: Final answer
    x = 22,769.20

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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.