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Finding the Fourth Proportional to 37,592.82, 51,877.98 and 21,677.13

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Solution

The fourth proportional to 37,592.82, 51,877.98 and 21,677.13 is: 29,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,592.82 : 51,877.98 = 21,677.13 : x
  2. Step 2: Convert to fraction form
    37,592.82/51,877.98 = 21,677.13/x
  3. Step 3: Cross multiply
    37,592.82x = 51,877.98 × 21,677.13
  4. Step 4: Simplify right side
    37,592.82x = 1,124,565,716.60
  5. Step 5: Solve for x
    x = 1,124,565,716.60/37,592.82
  6. Step 6: Final answer
    x = 29,914.38

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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.