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Finding the Fourth Proportional to 21,748, 32,622.08 and 5,332

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Solution

The fourth proportional to 21,748, 32,622.08 and 5,332 is: 7,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748 : 32,622.08 = 5,332 : x
  2. Step 2: Convert to fraction form
    21,748/32,622.08 = 5,332/x
  3. Step 3: Cross multiply
    21,748x = 32,622.08 × 5,332
  4. Step 4: Simplify right side
    21,748x = 173,940,930.56
  5. Step 5: Solve for x
    x = 173,940,930.56/21,748
  6. Step 6: Final answer
    x = 7,998.02

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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.