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Finding the Fourth Proportional to 82,952.78, 124,383.01 and 49,232.50

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Solution

The fourth proportional to 82,952.78, 124,383.01 and 49,232.50 is: 73,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952.78 : 124,383.01 = 49,232.50 : x
  2. Step 2: Convert to fraction form
    82,952.78/124,383.01 = 49,232.50/x
  3. Step 3: Cross multiply
    82,952.78x = 124,383.01 × 49,232.50
  4. Step 4: Simplify right side
    82,952.78x = 6,123,686,539.83
  5. Step 5: Solve for x
    x = 6,123,686,539.83/82,952.78
  6. Step 6: Final answer
    x = 73,821.35

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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.