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Finding the Fourth Proportional to 54,438.60, 75,123.32 and 30,566.28

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Solution

The fourth proportional to 54,438.60, 75,123.32 and 30,566.28 is: 42,180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438.60 : 75,123.32 = 30,566.28 : x
  2. Step 2: Convert to fraction form
    54,438.60/75,123.32 = 30,566.28/x
  3. Step 3: Cross multiply
    54,438.60x = 75,123.32 × 30,566.28
  4. Step 4: Simplify right side
    54,438.60x = 2,296,240,433.65
  5. Step 5: Solve for x
    x = 2,296,240,433.65/54,438.60
  6. Step 6: Final answer
    x = 42,180.37

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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.