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Finding the Fourth Proportional to 32,006.10, 48,009.15 and 9,819.30

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Solution

The fourth proportional to 32,006.10, 48,009.15 and 9,819.30 is: 14,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.10 : 48,009.15 = 9,819.30 : x
  2. Step 2: Convert to fraction form
    32,006.10/48,009.15 = 9,819.30/x
  3. Step 3: Cross multiply
    32,006.10x = 48,009.15 × 9,819.30
  4. Step 4: Simplify right side
    32,006.10x = 471,416,246.60
  5. Step 5: Solve for x
    x = 471,416,246.60/32,006.10
  6. Step 6: Final answer
    x = 14,728.95

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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.