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Finding the Fourth Proportional to 97,498.92, 146,218.14 and 35,161.32

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Solution

The fourth proportional to 97,498.92, 146,218.14 and 35,161.32 is: 52,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,498.92 : 146,218.14 = 35,161.32 : x
  2. Step 2: Convert to fraction form
    97,498.92/146,218.14 = 35,161.32/x
  3. Step 3: Cross multiply
    97,498.92x = 146,218.14 × 35,161.32
  4. Step 4: Simplify right side
    97,498.92x = 5,141,222,810.34
  5. Step 5: Solve for x
    x = 5,141,222,810.34/97,498.92
  6. Step 6: Final answer
    x = 52,731.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.