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Finding the Fourth Proportional to 95,415.47, 131,677.45 and 52,974

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Solution

The fourth proportional to 95,415.47, 131,677.45 and 52,974 is: 73,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,415.47 : 131,677.45 = 52,974 : x
  2. Step 2: Convert to fraction form
    95,415.47/131,677.45 = 52,974/x
  3. Step 3: Cross multiply
    95,415.47x = 131,677.45 × 52,974
  4. Step 4: Simplify right side
    95,415.47x = 6,975,481,103.87
  5. Step 5: Solve for x
    x = 6,975,481,103.87/95,415.47
  6. Step 6: Final answer
    x = 73,106.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.