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Finding the Fourth Proportional to 84,013.94, 115,936.52 and 48,203.40

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Solution

The fourth proportional to 84,013.94, 115,936.52 and 48,203.40 is: 66,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,013.94 : 115,936.52 = 48,203.40 : x
  2. Step 2: Convert to fraction form
    84,013.94/115,936.52 = 48,203.40/x
  3. Step 3: Cross multiply
    84,013.94x = 115,936.52 × 48,203.40
  4. Step 4: Simplify right side
    84,013.94x = 5,588,534,448.17
  5. Step 5: Solve for x
    x = 5,588,534,448.17/84,013.94
  6. Step 6: Final answer
    x = 66,519.13

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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.