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Finding the Fourth Proportional to 32,006.30, 48,009.45 and 9,823.10

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Solution

The fourth proportional to 32,006.30, 48,009.45 and 9,823.10 is: 14,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.30 : 48,009.45 = 9,823.10 : x
  2. Step 2: Convert to fraction form
    32,006.30/48,009.45 = 9,823.10/x
  3. Step 3: Cross multiply
    32,006.30x = 48,009.45 × 9,823.10
  4. Step 4: Simplify right side
    32,006.30x = 471,601,628.30
  5. Step 5: Solve for x
    x = 471,601,628.30/32,006.30
  6. Step 6: Final answer
    x = 14,734.65

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Similar ratio
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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.