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Finding the Fourth Proportional to 97,755.73, 146,636.15 and 31,195.77

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Solution

The fourth proportional to 97,755.73, 146,636.15 and 31,195.77 is: 46,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,755.73 : 146,636.15 = 31,195.77 : x
  2. Step 2: Convert to fraction form
    97,755.73/146,636.15 = 31,195.77/x
  3. Step 3: Cross multiply
    97,755.73x = 146,636.15 × 31,195.77
  4. Step 4: Simplify right side
    97,755.73x = 4,574,427,453.11
  5. Step 5: Solve for x
    x = 4,574,427,453.11/97,755.73
  6. Step 6: Final answer
    x = 46,794.47

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1.5x scale

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.