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Finding the Fourth Proportional to 47,197.57, 70,806.74 and 20,547.81

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Solution

The fourth proportional to 47,197.57, 70,806.74 and 20,547.81 is: 30,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,197.57 : 70,806.74 = 20,547.81 : x
  2. Step 2: Convert to fraction form
    47,197.57/70,806.74 = 20,547.81/x
  3. Step 3: Cross multiply
    47,197.57x = 70,806.74 × 20,547.81
  4. Step 4: Simplify right side
    47,197.57x = 1,454,923,440.24
  5. Step 5: Solve for x
    x = 1,454,923,440.24/47,197.57
  6. Step 6: Final answer
    x = 30,826.24

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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.