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Finding the Fourth Proportional to 97,964.32, 134,950.80 and 71,027.68

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Solution

The fourth proportional to 97,964.32, 134,950.80 and 71,027.68 is: 97,844.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,964.32 : 134,950.80 = 71,027.68 : x
  2. Step 2: Convert to fraction form
    97,964.32/134,950.80 = 71,027.68/x
  3. Step 3: Cross multiply
    97,964.32x = 134,950.80 × 71,027.68
  4. Step 4: Simplify right side
    97,964.32x = 9,585,242,238.14
  5. Step 5: Solve for x
    x = 9,585,242,238.14/97,964.32
  6. Step 6: Final answer
    x = 97,844.22

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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.