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Finding the Fourth Proportional to 102,006.75, 153,009.96 and 27,126.93

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Solution

The fourth proportional to 102,006.75, 153,009.96 and 27,126.93 is: 40,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.75 : 153,009.96 = 27,126.93 : x
  2. Step 2: Convert to fraction form
    102,006.75/153,009.96 = 27,126.93/x
  3. Step 3: Cross multiply
    102,006.75x = 153,009.96 × 27,126.93
  4. Step 4: Simplify right side
    102,006.75x = 4,150,690,474.22
  5. Step 5: Solve for x
    x = 4,150,690,474.22/102,006.75
  6. Step 6: Final answer
    x = 40,690.35

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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.