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Finding the Fourth Proportional to 51,596.84, 77,398.86 and 20,432

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Solution

The fourth proportional to 51,596.84, 77,398.86 and 20,432 is: 30,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,596.84 : 77,398.86 = 20,432 : x
  2. Step 2: Convert to fraction form
    51,596.84/77,398.86 = 20,432/x
  3. Step 3: Cross multiply
    51,596.84x = 77,398.86 × 20,432
  4. Step 4: Simplify right side
    51,596.84x = 1,581,413,507.52
  5. Step 5: Solve for x
    x = 1,581,413,507.52/51,596.84
  6. Step 6: Final answer
    x = 30,649.43

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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.