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Finding the Fourth Proportional to 32,115.40, 48,194.70 and 14,576.20

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Solution

The fourth proportional to 32,115.40, 48,194.70 and 14,576.20 is: 21,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.40 : 48,194.70 = 14,576.20 : x
  2. Step 2: Convert to fraction form
    32,115.40/48,194.70 = 14,576.20/x
  3. Step 3: Cross multiply
    32,115.40x = 48,194.70 × 14,576.20
  4. Step 4: Simplify right side
    32,115.40x = 702,495,586.14
  5. Step 5: Solve for x
    x = 702,495,586.14/32,115.40
  6. Step 6: Final answer
    x = 21,874.10

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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.