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Finding the Fourth Proportional to 63,809.16, 95,677.74 and 30,537.24

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Solution

The fourth proportional to 63,809.16, 95,677.74 and 30,537.24 is: 45,788.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,809.16 : 95,677.74 = 30,537.24 : x
  2. Step 2: Convert to fraction form
    63,809.16/95,677.74 = 30,537.24/x
  3. Step 3: Cross multiply
    63,809.16x = 95,677.74 × 30,537.24
  4. Step 4: Simplify right side
    63,809.16x = 2,921,734,109.04
  5. Step 5: Solve for x
    x = 2,921,734,109.04/63,809.16
  6. Step 6: Final answer
    x = 45,788.63

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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.