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Finding the Fourth Proportional to 97,676.07, 134,793.78 and 52,964.07

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Solution

The fourth proportional to 97,676.07, 134,793.78 and 52,964.07 is: 73,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,676.07 : 134,793.78 = 52,964.07 : x
  2. Step 2: Convert to fraction form
    97,676.07/134,793.78 = 52,964.07/x
  3. Step 3: Cross multiply
    97,676.07x = 134,793.78 × 52,964.07
  4. Step 4: Simplify right side
    97,676.07x = 7,139,227,199.48
  5. Step 5: Solve for x
    x = 7,139,227,199.48/97,676.07
  6. Step 6: Final answer
    x = 73,090.85

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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.