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Finding the Fourth Proportional to 32,006.40, 48,016.80 and 9,820.80

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Solution

The fourth proportional to 32,006.40, 48,016.80 and 9,820.80 is: 14,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006.40 : 48,016.80 = 9,820.80 : x
  2. Step 2: Convert to fraction form
    32,006.40/48,016.80 = 9,820.80/x
  3. Step 3: Cross multiply
    32,006.40x = 48,016.80 × 9,820.80
  4. Step 4: Simplify right side
    32,006.40x = 471,563,389.44
  5. Step 5: Solve for x
    x = 471,563,389.44/32,006.40
  6. Step 6: Final answer
    x = 14,733.41

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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.