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Finding the Fourth Proportional to 97,593, 134,678.50 and 52,881

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Solution

The fourth proportional to 97,593, 134,678.50 and 52,881 is: 72,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,593 : 134,678.50 = 52,881 : x
  2. Step 2: Convert to fraction form
    97,593/134,678.50 = 52,881/x
  3. Step 3: Cross multiply
    97,593x = 134,678.50 × 52,881
  4. Step 4: Simplify right side
    97,593x = 7,121,933,758.50
  5. Step 5: Solve for x
    x = 7,121,933,758.50/97,593
  6. Step 6: Final answer
    x = 72,975.87

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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.