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Finding the Fourth Proportional to 42,102.36, 63,130.32 and 17,136

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Solution

The fourth proportional to 42,102.36, 63,130.32 and 17,136 is: 25,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.36 : 63,130.32 = 17,136 : x
  2. Step 2: Convert to fraction form
    42,102.36/63,130.32 = 17,136/x
  3. Step 3: Cross multiply
    42,102.36x = 63,130.32 × 17,136
  4. Step 4: Simplify right side
    42,102.36x = 1,081,801,163.52
  5. Step 5: Solve for x
    x = 1,081,801,163.52/42,102.36
  6. Step 6: Final answer
    x = 25,694.55

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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.