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Finding the Fourth Proportional to 38,235.50, 52,765.60 and 21,468.14

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Solution

The fourth proportional to 38,235.50, 52,765.60 and 21,468.14 is: 29,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,235.50 : 52,765.60 = 21,468.14 : x
  2. Step 2: Convert to fraction form
    38,235.50/52,765.60 = 21,468.14/x
  3. Step 3: Cross multiply
    38,235.50x = 52,765.60 × 21,468.14
  4. Step 4: Simplify right side
    38,235.50x = 1,132,779,287.98
  5. Step 5: Solve for x
    x = 1,132,779,287.98/38,235.50
  6. Step 6: Final answer
    x = 29,626.38

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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.