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Finding the Fourth Proportional to 115,830, 173,770.92 and 40,949.28

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Solution

The fourth proportional to 115,830, 173,770.92 and 40,949.28 is: 61,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,830 : 173,770.92 = 40,949.28 : x
  2. Step 2: Convert to fraction form
    115,830/173,770.92 = 40,949.28/x
  3. Step 3: Cross multiply
    115,830x = 173,770.92 × 40,949.28
  4. Step 4: Simplify right side
    115,830x = 7,115,794,058.94
  5. Step 5: Solve for x
    x = 7,115,794,058.94/115,830
  6. Step 6: Final answer
    x = 61,433.08

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