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Finding the Fourth Proportional to 43,231, 64,866.02 and 24,763

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Solution

The fourth proportional to 43,231, 64,866.02 and 24,763 is: 37,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,231 : 64,866.02 = 24,763 : x
  2. Step 2: Convert to fraction form
    43,231/64,866.02 = 24,763/x
  3. Step 3: Cross multiply
    43,231x = 64,866.02 × 24,763
  4. Step 4: Simplify right side
    43,231x = 1,606,277,253.26
  5. Step 5: Solve for x
    x = 1,606,277,253.26/43,231
  6. Step 6: Final answer
    x = 37,155.68

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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.