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Finding the Fourth Proportional to 32,191.57, 48,290.49 and 9,998.98

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Solution

The fourth proportional to 32,191.57, 48,290.49 and 9,998.98 is: 14,999.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.57 : 48,290.49 = 9,998.98 : x
  2. Step 2: Convert to fraction form
    32,191.57/48,290.49 = 9,998.98/x
  3. Step 3: Cross multiply
    32,191.57x = 48,290.49 × 9,998.98
  4. Step 4: Simplify right side
    32,191.57x = 482,855,643.70
  5. Step 5: Solve for x
    x = 482,855,643.70/32,191.57
  6. Step 6: Final answer
    x = 14,999.44

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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.