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Finding the Fourth Proportional to 97,868, 135,069.36 and 58,124

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Solution

The fourth proportional to 97,868, 135,069.36 and 58,124 is: 80,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,868 : 135,069.36 = 58,124 : x
  2. Step 2: Convert to fraction form
    97,868/135,069.36 = 58,124/x
  3. Step 3: Cross multiply
    97,868x = 135,069.36 × 58,124
  4. Step 4: Simplify right side
    97,868x = 7,850,771,480.64
  5. Step 5: Solve for x
    x = 7,850,771,480.64/97,868
  6. Step 6: Final answer
    x = 80,217.96

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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.