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Finding the Fourth Proportional to 32,184.57, 48,279.97 and 9,991.98

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Solution

The fourth proportional to 32,184.57, 48,279.97 and 9,991.98 is: 14,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.57 : 48,279.97 = 9,991.98 : x
  2. Step 2: Convert to fraction form
    32,184.57/48,279.97 = 9,991.98/x
  3. Step 3: Cross multiply
    32,184.57x = 48,279.97 × 9,991.98
  4. Step 4: Simplify right side
    32,184.57x = 482,412,671.02
  5. Step 5: Solve for x
    x = 482,412,671.02/32,184.57
  6. Step 6: Final answer
    x = 14,988.94

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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.