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Finding the Fourth Proportional to 60,282, 83,190.16 and 33,425.64

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Solution

The fourth proportional to 60,282, 83,190.16 and 33,425.64 is: 46,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,282 : 83,190.16 = 33,425.64 : x
  2. Step 2: Convert to fraction form
    60,282/83,190.16 = 33,425.64/x
  3. Step 3: Cross multiply
    60,282x = 83,190.16 × 33,425.64
  4. Step 4: Simplify right side
    60,282x = 2,780,684,339.70
  5. Step 5: Solve for x
    x = 2,780,684,339.70/60,282
  6. Step 6: Final answer
    x = 46,127.94

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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.