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Finding the Fourth Proportional to 97,311.78, 134,290.41 and 52,599.78

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Solution

The fourth proportional to 97,311.78, 134,290.41 and 52,599.78 is: 72,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,311.78 : 134,290.41 = 52,599.78 : x
  2. Step 2: Convert to fraction form
    97,311.78/134,290.41 = 52,599.78/x
  3. Step 3: Cross multiply
    97,311.78x = 134,290.41 × 52,599.78
  4. Step 4: Simplify right side
    97,311.78x = 7,063,646,022.11
  5. Step 5: Solve for x
    x = 7,063,646,022.11/97,311.78
  6. Step 6: Final answer
    x = 72,587.78

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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.