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Finding the Fourth Proportional to 57,041.84, 85,505.31 and 23,780.31

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Solution

The fourth proportional to 57,041.84, 85,505.31 and 23,780.31 is: 35,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,041.84 : 85,505.31 = 23,780.31 : x
  2. Step 2: Convert to fraction form
    57,041.84/85,505.31 = 23,780.31/x
  3. Step 3: Cross multiply
    57,041.84x = 85,505.31 × 23,780.31
  4. Step 4: Simplify right side
    57,041.84x = 2,033,342,778.45
  5. Step 5: Solve for x
    x = 2,033,342,778.45/57,041.84
  6. Step 6: Final answer
    x = 35,646.52

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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.