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Finding the Fourth Proportional to 50,470.86, 75,706.29 and 20,856.15

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Solution

The fourth proportional to 50,470.86, 75,706.29 and 20,856.15 is: 31,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,470.86 : 75,706.29 = 20,856.15 : x
  2. Step 2: Convert to fraction form
    50,470.86/75,706.29 = 20,856.15/x
  3. Step 3: Cross multiply
    50,470.86x = 75,706.29 × 20,856.15
  4. Step 4: Simplify right side
    50,470.86x = 1,578,941,740.18
  5. Step 5: Solve for x
    x = 1,578,941,740.18/50,470.86
  6. Step 6: Final answer
    x = 31,284.23

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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.