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Finding the Fourth Proportional to 47,122.50, 70,665.80 and 20,812.89

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Solution

The fourth proportional to 47,122.50, 70,665.80 and 20,812.89 is: 31,211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,122.50 : 70,665.80 = 20,812.89 : x
  2. Step 2: Convert to fraction form
    47,122.50/70,665.80 = 20,812.89/x
  3. Step 3: Cross multiply
    47,122.50x = 70,665.80 × 20,812.89
  4. Step 4: Simplify right side
    47,122.50x = 1,470,759,418.10
  5. Step 5: Solve for x
    x = 1,470,759,418.10/47,122.50
  6. Step 6: Final answer
    x = 31,211.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.