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Finding the Fourth Proportional to 97,616.54, 146,424.90 and 38,419.94

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Solution

The fourth proportional to 97,616.54, 146,424.90 and 38,419.94 is: 57,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,616.54 : 146,424.90 = 38,419.94 : x
  2. Step 2: Convert to fraction form
    97,616.54/146,424.90 = 38,419.94/x
  3. Step 3: Cross multiply
    97,616.54x = 146,424.90 × 38,419.94
  4. Step 4: Simplify right side
    97,616.54x = 5,625,635,872.51
  5. Step 5: Solve for x
    x = 5,625,635,872.51/97,616.54
  6. Step 6: Final answer
    x = 57,629.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.