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Finding the Fourth Proportional to 82,597.54, 123,822.87 and 35,824.90

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Solution

The fourth proportional to 82,597.54, 123,822.87 and 35,824.90 is: 53,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,597.54 : 123,822.87 = 35,824.90 : x
  2. Step 2: Convert to fraction form
    82,597.54/123,822.87 = 35,824.90/x
  3. Step 3: Cross multiply
    82,597.54x = 123,822.87 × 35,824.90
  4. Step 4: Simplify right side
    82,597.54x = 4,435,941,935.46
  5. Step 5: Solve for x
    x = 4,435,941,935.46/82,597.54
  6. Step 6: Final answer
    x = 53,705.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.