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Finding the Fourth Proportional to 38,146.62, 52,642.23 and 23,242.62

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Solution

The fourth proportional to 38,146.62, 52,642.23 and 23,242.62 is: 32,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,146.62 : 52,642.23 = 23,242.62 : x
  2. Step 2: Convert to fraction form
    38,146.62/52,642.23 = 23,242.62/x
  3. Step 3: Cross multiply
    38,146.62x = 52,642.23 × 23,242.62
  4. Step 4: Simplify right side
    38,146.62x = 1,223,543,347.84
  5. Step 5: Solve for x
    x = 1,223,543,347.84/38,146.62
  6. Step 6: Final answer
    x = 32,074.75

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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.