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Finding the Fourth Proportional to 83,274.54, 114,748.83 and 59,350.38

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Solution

The fourth proportional to 83,274.54, 114,748.83 and 59,350.38 is: 81,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,274.54 : 114,748.83 = 59,350.38 : x
  2. Step 2: Convert to fraction form
    83,274.54/114,748.83 = 59,350.38/x
  3. Step 3: Cross multiply
    83,274.54x = 114,748.83 × 59,350.38
  4. Step 4: Simplify right side
    83,274.54x = 6,810,386,665.06
  5. Step 5: Solve for x
    x = 6,810,386,665.06/83,274.54
  6. Step 6: Final answer
    x = 81,782.34

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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.