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Finding the Fourth Proportional to 42,757.22, 64,136 and 25,214.75

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Solution

The fourth proportional to 42,757.22, 64,136 and 25,214.75 is: 37,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,757.22 : 64,136 = 25,214.75 : x
  2. Step 2: Convert to fraction form
    42,757.22/64,136 = 25,214.75/x
  3. Step 3: Cross multiply
    42,757.22x = 64,136 × 25,214.75
  4. Step 4: Simplify right side
    42,757.22x = 1,617,173,206
  5. Step 5: Solve for x
    x = 1,617,173,206/42,757.22
  6. Step 6: Final answer
    x = 37,822.23

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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.