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Finding the Fourth Proportional to 57,256.89, 85,894.53 and 17,823.12

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Solution

The fourth proportional to 57,256.89, 85,894.53 and 17,823.12 is: 26,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,256.89 : 85,894.53 = 17,823.12 : x
  2. Step 2: Convert to fraction form
    57,256.89/85,894.53 = 17,823.12/x
  3. Step 3: Cross multiply
    57,256.89x = 85,894.53 × 17,823.12
  4. Step 4: Simplify right side
    57,256.89x = 1,530,908,515.53
  5. Step 5: Solve for x
    x = 1,530,908,515.53/57,256.89
  6. Step 6: Final answer
    x = 26,737.54

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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.