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Finding the Fourth Proportional to 82,163.16, 123,192.50 and 34,753.46

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Solution

The fourth proportional to 82,163.16, 123,192.50 and 34,753.46 is: 52,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.16 : 123,192.50 = 34,753.46 : x
  2. Step 2: Convert to fraction form
    82,163.16/123,192.50 = 34,753.46/x
  3. Step 3: Cross multiply
    82,163.16x = 123,192.50 × 34,753.46
  4. Step 4: Simplify right side
    82,163.16x = 4,281,364,831.32
  5. Step 5: Solve for x
    x = 4,281,364,831.32/82,163.16
  6. Step 6: Final answer
    x = 52,108.08

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