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Finding the Fourth Proportional to 97,309.98, 134,283.69 and 54,872.46

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Solution

The fourth proportional to 97,309.98, 134,283.69 and 54,872.46 is: 75,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,309.98 : 134,283.69 = 54,872.46 : x
  2. Step 2: Convert to fraction form
    97,309.98/134,283.69 = 54,872.46/x
  3. Step 3: Cross multiply
    97,309.98x = 134,283.69 × 54,872.46
  4. Step 4: Simplify right side
    97,309.98x = 7,368,476,408.18
  5. Step 5: Solve for x
    x = 7,368,476,408.18/97,309.98
  6. Step 6: Final answer
    x = 75,721.69

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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.