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Finding the Fourth Proportional to 32,200.50, 48,300.75 and 13,732.50

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Solution

The fourth proportional to 32,200.50, 48,300.75 and 13,732.50 is: 20,598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.50 : 48,300.75 = 13,732.50 : x
  2. Step 2: Convert to fraction form
    32,200.50/48,300.75 = 13,732.50/x
  3. Step 3: Cross multiply
    32,200.50x = 48,300.75 × 13,732.50
  4. Step 4: Simplify right side
    32,200.50x = 663,290,049.38
  5. Step 5: Solve for x
    x = 663,290,049.38/32,200.50
  6. Step 6: Final answer
    x = 20,598.75

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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.