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Finding the Fourth Proportional to 32,522.59, 48,754.32 and 11,741.23

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Solution

The fourth proportional to 32,522.59, 48,754.32 and 11,741.23 is: 17,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.59 : 48,754.32 = 11,741.23 : x
  2. Step 2: Convert to fraction form
    32,522.59/48,754.32 = 11,741.23/x
  3. Step 3: Cross multiply
    32,522.59x = 48,754.32 × 11,741.23
  4. Step 4: Simplify right side
    32,522.59x = 572,435,684.61
  5. Step 5: Solve for x
    x = 572,435,684.61/32,522.59
  6. Step 6: Final answer
    x = 17,601.17

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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.