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Finding the Fourth Proportional to 63,818, 95,770.74 and 22,265

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Solution

The fourth proportional to 63,818, 95,770.74 and 22,265 is: 33,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,818 : 95,770.74 = 22,265 : x
  2. Step 2: Convert to fraction form
    63,818/95,770.74 = 22,265/x
  3. Step 3: Cross multiply
    63,818x = 95,770.74 × 22,265
  4. Step 4: Simplify right side
    63,818x = 2,132,335,526.10
  5. Step 5: Solve for x
    x = 2,132,335,526.10/63,818
  6. Step 6: Final answer
    x = 33,412.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.