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Finding the Fourth Proportional to 38,642.12, 53,325.50 and 21,646.30

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Solution

The fourth proportional to 38,642.12, 53,325.50 and 21,646.30 is: 29,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642.12 : 53,325.50 = 21,646.30 : x
  2. Step 2: Convert to fraction form
    38,642.12/53,325.50 = 21,646.30/x
  3. Step 3: Cross multiply
    38,642.12x = 53,325.50 × 21,646.30
  4. Step 4: Simplify right side
    38,642.12x = 1,154,299,770.65
  5. Step 5: Solve for x
    x = 1,154,299,770.65/38,642.12
  6. Step 6: Final answer
    x = 29,871.54

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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.