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Finding the Fourth Proportional to 50,209.76, 75,312.81 and 15,148.50

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Solution

The fourth proportional to 50,209.76, 75,312.81 and 15,148.50 is: 22,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209.76 : 75,312.81 = 15,148.50 : x
  2. Step 2: Convert to fraction form
    50,209.76/75,312.81 = 15,148.50/x
  3. Step 3: Cross multiply
    50,209.76x = 75,312.81 × 15,148.50
  4. Step 4: Simplify right side
    50,209.76x = 1,140,876,102.29
  5. Step 5: Solve for x
    x = 1,140,876,102.29/50,209.76
  6. Step 6: Final answer
    x = 22,722.20

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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.