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Finding the Fourth Proportional to 82,338.98, 123,673.80 and 49,123.94

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Solution

The fourth proportional to 82,338.98, 123,673.80 and 49,123.94 is: 73,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,338.98 : 123,673.80 = 49,123.94 : x
  2. Step 2: Convert to fraction form
    82,338.98/123,673.80 = 49,123.94/x
  3. Step 3: Cross multiply
    82,338.98x = 123,673.80 × 49,123.94
  4. Step 4: Simplify right side
    82,338.98x = 6,075,344,330.77
  5. Step 5: Solve for x
    x = 6,075,344,330.77/82,338.98
  6. Step 6: Final answer
    x = 73,784.55

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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.