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Finding the Fourth Proportional to 115,018.12, 172,477.88 and 40,116

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Solution

The fourth proportional to 115,018.12, 172,477.88 and 40,116 is: 60,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,018.12 : 172,477.88 = 40,116 : x
  2. Step 2: Convert to fraction form
    115,018.12/172,477.88 = 40,116/x
  3. Step 3: Cross multiply
    115,018.12x = 172,477.88 × 40,116
  4. Step 4: Simplify right side
    115,018.12x = 6,919,122,634.08
  5. Step 5: Solve for x
    x = 6,919,122,634.08/115,018.12
  6. Step 6: Final answer
    x = 60,156.81

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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.