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Finding the Fourth Proportional to 98,512.74, 135,952.83 and 56,084.94

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Solution

The fourth proportional to 98,512.74, 135,952.83 and 56,084.94 is: 77,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,512.74 : 135,952.83 = 56,084.94 : x
  2. Step 2: Convert to fraction form
    98,512.74/135,952.83 = 56,084.94/x
  3. Step 3: Cross multiply
    98,512.74x = 135,952.83 × 56,084.94
  4. Step 4: Simplify right side
    98,512.74x = 7,624,906,313.38
  5. Step 5: Solve for x
    x = 7,624,906,313.38/98,512.74
  6. Step 6: Final answer
    x = 77,400.21

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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.