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Finding the Fourth Proportional to 97,875, 135,079.02 and 58,131

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Solution

The fourth proportional to 97,875, 135,079.02 and 58,131 is: 80,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875 : 135,079.02 = 58,131 : x
  2. Step 2: Convert to fraction form
    97,875/135,079.02 = 58,131/x
  3. Step 3: Cross multiply
    97,875x = 135,079.02 × 58,131
  4. Step 4: Simplify right side
    97,875x = 7,852,278,511.62
  5. Step 5: Solve for x
    x = 7,852,278,511.62/97,875
  6. Step 6: Final answer
    x = 80,227.62

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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.