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Finding the Fourth Proportional to 97,895, 135,095.10 and 58,151

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Solution

The fourth proportional to 97,895, 135,095.10 and 58,151 is: 80,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,895 : 135,095.10 = 58,151 : x
  2. Step 2: Convert to fraction form
    97,895/135,095.10 = 58,151/x
  3. Step 3: Cross multiply
    97,895x = 135,095.10 × 58,151
  4. Step 4: Simplify right side
    97,895x = 7,855,915,160.10
  5. Step 5: Solve for x
    x = 7,855,915,160.10/97,895
  6. Step 6: Final answer
    x = 80,248.38

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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.