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Finding the Fourth Proportional to 97,496.92, 146,215.14 and 35,159.32

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Solution

The fourth proportional to 97,496.92, 146,215.14 and 35,159.32 is: 52,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496.92 : 146,215.14 = 35,159.32 : x
  2. Step 2: Convert to fraction form
    97,496.92/146,215.14 = 35,159.32/x
  3. Step 3: Cross multiply
    97,496.92x = 146,215.14 × 35,159.32
  4. Step 4: Simplify right side
    97,496.92x = 5,140,824,896.10
  5. Step 5: Solve for x
    x = 5,140,824,896.10/97,496.92
  6. Step 6: Final answer
    x = 52,728.07

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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.