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Finding the Fourth Proportional to 97,763.40, 146,645.10 and 31,205.70

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Solution

The fourth proportional to 97,763.40, 146,645.10 and 31,205.70 is: 46,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,763.40 : 146,645.10 = 31,205.70 : x
  2. Step 2: Convert to fraction form
    97,763.40/146,645.10 = 31,205.70/x
  3. Step 3: Cross multiply
    97,763.40x = 146,645.10 × 31,205.70
  4. Step 4: Simplify right side
    97,763.40x = 4,576,162,997.07
  5. Step 5: Solve for x
    x = 4,576,162,997.07/97,763.40
  6. Step 6: Final answer
    x = 46,808.55

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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.