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Finding the Fourth Proportional to 32,775.72, 45,291.78 and 27,927.78

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Solution

The fourth proportional to 32,775.72, 45,291.78 and 27,927.78 is: 38,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,775.72 : 45,291.78 = 27,927.78 : x
  2. Step 2: Convert to fraction form
    32,775.72/45,291.78 = 27,927.78/x
  3. Step 3: Cross multiply
    32,775.72x = 45,291.78 × 27,927.78
  4. Step 4: Simplify right side
    32,775.72x = 1,264,898,867.65
  5. Step 5: Solve for x
    x = 1,264,898,867.65/32,775.72
  6. Step 6: Final answer
    x = 38,592.56

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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.