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Finding the Fourth Proportional to 102,045.01, 153,076.17 and 27,165.17

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Solution

The fourth proportional to 102,045.01, 153,076.17 and 27,165.17 is: 40,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,045.01 : 153,076.17 = 27,165.17 : x
  2. Step 2: Convert to fraction form
    102,045.01/153,076.17 = 27,165.17/x
  3. Step 3: Cross multiply
    102,045.01x = 153,076.17 × 27,165.17
  4. Step 4: Simplify right side
    102,045.01x = 4,158,339,415.62
  5. Step 5: Solve for x
    x = 4,158,339,415.62/102,045.01
  6. Step 6: Final answer
    x = 40,750.05

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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.