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Finding the Fourth Proportional to 97,321.86, 134,301.24 and 54,302.49

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Solution

The fourth proportional to 97,321.86, 134,301.24 and 54,302.49 is: 74,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,321.86 : 134,301.24 = 54,302.49 : x
  2. Step 2: Convert to fraction form
    97,321.86/134,301.24 = 54,302.49/x
  3. Step 3: Cross multiply
    97,321.86x = 134,301.24 × 54,302.49
  4. Step 4: Simplify right side
    97,321.86x = 7,292,891,742.09
  5. Step 5: Solve for x
    x = 7,292,891,742.09/97,321.86
  6. Step 6: Final answer
    x = 74,935.80

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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.