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Finding the Fourth Proportional to 83,825.70, 115,674.80 and 48,018.02

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Solution

The fourth proportional to 83,825.70, 115,674.80 and 48,018.02 is: 66,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,825.70 : 115,674.80 = 48,018.02 : x
  2. Step 2: Convert to fraction form
    83,825.70/115,674.80 = 48,018.02/x
  3. Step 3: Cross multiply
    83,825.70x = 115,674.80 × 48,018.02
  4. Step 4: Simplify right side
    83,825.70x = 5,554,474,041.43
  5. Step 5: Solve for x
    x = 5,554,474,041.43/83,825.70
  6. Step 6: Final answer
    x = 66,262.19

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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.