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Finding the Fourth Proportional to 73,133.40, 100,932.30 and 61,175.64

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Solution

The fourth proportional to 73,133.40, 100,932.30 and 61,175.64 is: 84,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,133.40 : 100,932.30 = 61,175.64 : x
  2. Step 2: Convert to fraction form
    73,133.40/100,932.30 = 61,175.64/x
  3. Step 3: Cross multiply
    73,133.40x = 100,932.30 × 61,175.64
  4. Step 4: Simplify right side
    73,133.40x = 6,174,598,049.17
  5. Step 5: Solve for x
    x = 6,174,598,049.17/73,133.40
  6. Step 6: Final answer
    x = 84,429.25

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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.