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Finding the Fourth Proportional to 82,024.34, 123,049.78 and 34,646.57

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Solution

The fourth proportional to 82,024.34, 123,049.78 and 34,646.57 is: 51,975.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,024.34 : 123,049.78 = 34,646.57 : x
  2. Step 2: Convert to fraction form
    82,024.34/123,049.78 = 34,646.57/x
  3. Step 3: Cross multiply
    82,024.34x = 123,049.78 × 34,646.57
  4. Step 4: Simplify right side
    82,024.34x = 4,263,252,027.77
  5. Step 5: Solve for x
    x = 4,263,252,027.77/82,024.34
  6. Step 6: Final answer
    x = 51,975.45

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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.