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Finding the Fourth Proportional to 32,583.75, 48,876.17 and 12,862.14

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Solution

The fourth proportional to 32,583.75, 48,876.17 and 12,862.14 is: 19,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,583.75 : 48,876.17 = 12,862.14 : x
  2. Step 2: Convert to fraction form
    32,583.75/48,876.17 = 12,862.14/x
  3. Step 3: Cross multiply
    32,583.75x = 48,876.17 × 12,862.14
  4. Step 4: Simplify right side
    32,583.75x = 628,652,076.89
  5. Step 5: Solve for x
    x = 628,652,076.89/32,583.75
  6. Step 6: Final answer
    x = 19,293.42

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1.5x scale

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.