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Finding the Fourth Proportional to 96,412.44, 133,041.78 and 53,965.20

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Solution

The fourth proportional to 96,412.44, 133,041.78 and 53,965.20 is: 74,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,412.44 : 133,041.78 = 53,965.20 : x
  2. Step 2: Convert to fraction form
    96,412.44/133,041.78 = 53,965.20/x
  3. Step 3: Cross multiply
    96,412.44x = 133,041.78 × 53,965.20
  4. Step 4: Simplify right side
    96,412.44x = 7,179,626,266.06
  5. Step 5: Solve for x
    x = 7,179,626,266.06/96,412.44
  6. Step 6: Final answer
    x = 74,467.84

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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.