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Finding the Fourth Proportional to 84,033, 115,965.54 and 50,499

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Solution

The fourth proportional to 84,033, 115,965.54 and 50,499 is: 69,688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,033 : 115,965.54 = 50,499 : x
  2. Step 2: Convert to fraction form
    84,033/115,965.54 = 50,499/x
  3. Step 3: Cross multiply
    84,033x = 115,965.54 × 50,499
  4. Step 4: Simplify right side
    84,033x = 5,856,143,804.46
  5. Step 5: Solve for x
    x = 5,856,143,804.46/84,033
  6. Step 6: Final answer
    x = 69,688.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.