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Finding the Fourth Proportional to 32,594, 48,891 and 11,817.52

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Solution

The fourth proportional to 32,594, 48,891 and 11,817.52 is: 17,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594 : 48,891 = 11,817.52 : x
  2. Step 2: Convert to fraction form
    32,594/48,891 = 11,817.52/x
  3. Step 3: Cross multiply
    32,594x = 48,891 × 11,817.52
  4. Step 4: Simplify right side
    32,594x = 577,770,370.32
  5. Step 5: Solve for x
    x = 577,770,370.32/32,594
  6. Step 6: Final answer
    x = 17,726.28

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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.