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Finding the Fourth Proportional to 35,746.18, 49,324.17 and 20,432.50

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Solution

The fourth proportional to 35,746.18, 49,324.17 and 20,432.50 is: 28,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,746.18 : 49,324.17 = 20,432.50 : x
  2. Step 2: Convert to fraction form
    35,746.18/49,324.17 = 20,432.50/x
  3. Step 3: Cross multiply
    35,746.18x = 49,324.17 × 20,432.50
  4. Step 4: Simplify right side
    35,746.18x = 1,007,816,103.53
  5. Step 5: Solve for x
    x = 1,007,816,103.53/35,746.18
  6. Step 6: Final answer
    x = 28,193.67

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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.