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Finding the Fourth Proportional to 32,606, 48,759.48 and 24,291.68

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Solution

The fourth proportional to 32,606, 48,759.48 and 24,291.68 is: 36,326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,606 : 48,759.48 = 24,291.68 : x
  2. Step 2: Convert to fraction form
    32,606/48,759.48 = 24,291.68/x
  3. Step 3: Cross multiply
    32,606x = 48,759.48 × 24,291.68
  4. Step 4: Simplify right side
    32,606x = 1,184,449,685.13
  5. Step 5: Solve for x
    x = 1,184,449,685.13/32,606
  6. Step 6: Final answer
    x = 36,326.13

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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.