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Finding the Fourth Proportional to 97,073.82, 133,939.71 and 54,616.86

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Solution

The fourth proportional to 97,073.82, 133,939.71 and 54,616.86 is: 75,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,073.82 : 133,939.71 = 54,616.86 : x
  2. Step 2: Convert to fraction form
    97,073.82/133,939.71 = 54,616.86/x
  3. Step 3: Cross multiply
    97,073.82x = 133,939.71 × 54,616.86
  4. Step 4: Simplify right side
    97,073.82x = 7,315,366,389.51
  5. Step 5: Solve for x
    x = 7,315,366,389.51/97,073.82
  6. Step 6: Final answer
    x = 75,358.80

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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.