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Finding the Fourth Proportional to 23,562.78, 35,266.41 and 20,970.78

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Solution

The fourth proportional to 23,562.78, 35,266.41 and 20,970.78 is: 31,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.78 : 35,266.41 = 20,970.78 : x
  2. Step 2: Convert to fraction form
    23,562.78/35,266.41 = 20,970.78/x
  3. Step 3: Cross multiply
    23,562.78x = 35,266.41 × 20,970.78
  4. Step 4: Simplify right side
    23,562.78x = 739,564,125.50
  5. Step 5: Solve for x
    x = 739,564,125.50/23,562.78
  6. Step 6: Final answer
    x = 31,386.96

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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.