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Finding the Fourth Proportional to 37,099, 51,196.62 and 20,332

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Solution

The fourth proportional to 37,099, 51,196.62 and 20,332 is: 28,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,099 : 51,196.62 = 20,332 : x
  2. Step 2: Convert to fraction form
    37,099/51,196.62 = 20,332/x
  3. Step 3: Cross multiply
    37,099x = 51,196.62 × 20,332
  4. Step 4: Simplify right side
    37,099x = 1,040,929,677.84
  5. Step 5: Solve for x
    x = 1,040,929,677.84/37,099
  6. Step 6: Final answer
    x = 28,058.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.