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Finding the Fourth Proportional to 114,856.50, 172,284.76 and 35,976.88

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Solution

The fourth proportional to 114,856.50, 172,284.76 and 35,976.88 is: 53,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,856.50 : 172,284.76 = 35,976.88 : x
  2. Step 2: Convert to fraction form
    114,856.50/172,284.76 = 35,976.88/x
  3. Step 3: Cross multiply
    114,856.50x = 172,284.76 × 35,976.88
  4. Step 4: Simplify right side
    114,856.50x = 6,198,267,274.93
  5. Step 5: Solve for x
    x = 6,198,267,274.93/114,856.50
  6. Step 6: Final answer
    x = 53,965.32

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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.