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Finding the Fourth Proportional to 97,677, 134,794.32 and 52,965

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Solution

The fourth proportional to 97,677, 134,794.32 and 52,965 is: 73,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,677 : 134,794.32 = 52,965 : x
  2. Step 2: Convert to fraction form
    97,677/134,794.32 = 52,965/x
  3. Step 3: Cross multiply
    97,677x = 134,794.32 × 52,965
  4. Step 4: Simplify right side
    97,677x = 7,139,381,158.80
  5. Step 5: Solve for x
    x = 7,139,381,158.80/97,677
  6. Step 6: Final answer
    x = 73,091.73

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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.