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Finding the Fourth Proportional to 37,943.76, 52,358.76 and 21,177.84

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Solution

The fourth proportional to 37,943.76, 52,358.76 and 21,177.84 is: 29,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,943.76 : 52,358.76 = 21,177.84 : x
  2. Step 2: Convert to fraction form
    37,943.76/52,358.76 = 21,177.84/x
  3. Step 3: Cross multiply
    37,943.76x = 52,358.76 × 21,177.84
  4. Step 4: Simplify right side
    37,943.76x = 1,108,845,441.88
  5. Step 5: Solve for x
    x = 1,108,845,441.88/37,943.76
  6. Step 6: Final answer
    x = 29,223.39

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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.