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Finding the Fourth Proportional to 38,242.80, 52,774.32 and 21,246.96

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Solution

The fourth proportional to 38,242.80, 52,774.32 and 21,246.96 is: 29,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,242.80 : 52,774.32 = 21,246.96 : x
  2. Step 2: Convert to fraction form
    38,242.80/52,774.32 = 21,246.96/x
  3. Step 3: Cross multiply
    38,242.80x = 52,774.32 × 21,246.96
  4. Step 4: Simplify right side
    38,242.80x = 1,121,293,866.07
  5. Step 5: Solve for x
    x = 1,121,293,866.07/38,242.80
  6. Step 6: Final answer
    x = 29,320.39

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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.