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Finding the Fourth Proportional to 32,172.87, 48,263.94 and 9,988.02

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Solution

The fourth proportional to 32,172.87, 48,263.94 and 9,988.02 is: 14,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.87 : 48,263.94 = 9,988.02 : x
  2. Step 2: Convert to fraction form
    32,172.87/48,263.94 = 9,988.02/x
  3. Step 3: Cross multiply
    32,172.87x = 48,263.94 × 9,988.02
  4. Step 4: Simplify right side
    32,172.87x = 482,061,198.00
  5. Step 5: Solve for x
    x = 482,061,198.00/32,172.87
  6. Step 6: Final answer
    x = 14,983.47

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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.