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Finding the Fourth Proportional to 96,410.68, 133,054.43 and 71,032.97

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Solution

The fourth proportional to 96,410.68, 133,054.43 and 71,032.97 is: 98,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,410.68 : 133,054.43 = 71,032.97 : x
  2. Step 2: Convert to fraction form
    96,410.68/133,054.43 = 71,032.97/x
  3. Step 3: Cross multiply
    96,410.68x = 133,054.43 × 71,032.97
  4. Step 4: Simplify right side
    96,410.68x = 9,451,251,312.03
  5. Step 5: Solve for x
    x = 9,451,251,312.03/96,410.68
  6. Step 6: Final answer
    x = 98,031.17

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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.