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Finding the Fourth Proportional to 84,022.95, 115,950.38 and 46,298.55

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Solution

The fourth proportional to 84,022.95, 115,950.38 and 46,298.55 is: 63,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,022.95 : 115,950.38 = 46,298.55 : x
  2. Step 2: Convert to fraction form
    84,022.95/115,950.38 = 46,298.55/x
  3. Step 3: Cross multiply
    84,022.95x = 115,950.38 × 46,298.55
  4. Step 4: Simplify right side
    84,022.95x = 5,368,334,234.46
  5. Step 5: Solve for x
    x = 5,368,334,234.46/84,022.95
  6. Step 6: Final answer
    x = 63,891.28

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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.