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Finding the Fourth Proportional to 38,308.12, 52,870.02 and 21,541

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Solution

The fourth proportional to 38,308.12, 52,870.02 and 21,541 is: 29,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308.12 : 52,870.02 = 21,541 : x
  2. Step 2: Convert to fraction form
    38,308.12/52,870.02 = 21,541/x
  3. Step 3: Cross multiply
    38,308.12x = 52,870.02 × 21,541
  4. Step 4: Simplify right side
    38,308.12x = 1,138,873,100.82
  5. Step 5: Solve for x
    x = 1,138,873,100.82/38,308.12
  6. Step 6: Final answer
    x = 29,729.29

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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.