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Finding the Fourth Proportional to 84,026.84, 115,952.46 and 46,298.12

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Solution

The fourth proportional to 84,026.84, 115,952.46 and 46,298.12 is: 63,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,026.84 : 115,952.46 = 46,298.12 : x
  2. Step 2: Convert to fraction form
    84,026.84/115,952.46 = 46,298.12/x
  3. Step 3: Cross multiply
    84,026.84x = 115,952.46 × 46,298.12
  4. Step 4: Simplify right side
    84,026.84x = 5,368,380,907.38
  5. Step 5: Solve for x
    x = 5,368,380,907.38/84,026.84
  6. Step 6: Final answer
    x = 63,888.88

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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.