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Finding the Fourth Proportional to 98,496.81, 135,981.59 and 65,060.01

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Solution

The fourth proportional to 98,496.81, 135,981.59 and 65,060.01 is: 89,819.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,496.81 : 135,981.59 = 65,060.01 : x
  2. Step 2: Convert to fraction form
    98,496.81/135,981.59 = 65,060.01/x
  3. Step 3: Cross multiply
    98,496.81x = 135,981.59 × 65,060.01
  4. Step 4: Simplify right side
    98,496.81x = 8,846,963,279.92
  5. Step 5: Solve for x
    x = 8,846,963,279.92/98,496.81
  6. Step 6: Final answer
    x = 89,819.79

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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.