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Finding the Fourth Proportional to 97,377, 146,065.50 and 31,713

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Solution

The fourth proportional to 97,377, 146,065.50 and 31,713 is: 47,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,377 : 146,065.50 = 31,713 : x
  2. Step 2: Convert to fraction form
    97,377/146,065.50 = 31,713/x
  3. Step 3: Cross multiply
    97,377x = 146,065.50 × 31,713
  4. Step 4: Simplify right side
    97,377x = 4,632,175,201.50
  5. Step 5: Solve for x
    x = 4,632,175,201.50/97,377
  6. Step 6: Final answer
    x = 47,569.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.