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Finding the Fourth Proportional to 32,536, 48,788.64 and 11,759.04

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Solution

The fourth proportional to 32,536, 48,788.64 and 11,759.04 is: 17,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536 : 48,788.64 = 11,759.04 : x
  2. Step 2: Convert to fraction form
    32,536/48,788.64 = 11,759.04/x
  3. Step 3: Cross multiply
    32,536x = 48,788.64 × 11,759.04
  4. Step 4: Simplify right side
    32,536x = 573,707,569.31
  5. Step 5: Solve for x
    x = 573,707,569.31/32,536
  6. Step 6: Final answer
    x = 17,633.01

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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.