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Finding the Fourth Proportional to 97,771, 134,923.98 and 53,059

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Solution

The fourth proportional to 97,771, 134,923.98 and 53,059 is: 73,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,771 : 134,923.98 = 53,059 : x
  2. Step 2: Convert to fraction form
    97,771/134,923.98 = 53,059/x
  3. Step 3: Cross multiply
    97,771x = 134,923.98 × 53,059
  4. Step 4: Simplify right side
    97,771x = 7,158,931,454.82
  5. Step 5: Solve for x
    x = 7,158,931,454.82/97,771
  6. Step 6: Final answer
    x = 73,221.42

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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.