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Finding the Fourth Proportional to 32,622, 48,935.44 and 9,250.32

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Solution

The fourth proportional to 32,622, 48,935.44 and 9,250.32 is: 13,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622 : 48,935.44 = 9,250.32 : x
  2. Step 2: Convert to fraction form
    32,622/48,935.44 = 9,250.32/x
  3. Step 3: Cross multiply
    32,622x = 48,935.44 × 9,250.32
  4. Step 4: Simplify right side
    32,622x = 452,668,479.34
  5. Step 5: Solve for x
    x = 452,668,479.34/32,622
  6. Step 6: Final answer
    x = 13,876.17

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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.