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Finding the Fourth Proportional to 35,420.68, 53,136.78 and 10,463.24

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Solution

The fourth proportional to 35,420.68, 53,136.78 and 10,463.24 is: 15,696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,420.68 : 53,136.78 = 10,463.24 : x
  2. Step 2: Convert to fraction form
    35,420.68/53,136.78 = 10,463.24/x
  3. Step 3: Cross multiply
    35,420.68x = 53,136.78 × 10,463.24
  4. Step 4: Simplify right side
    35,420.68x = 555,982,881.97
  5. Step 5: Solve for x
    x = 555,982,881.97/35,420.68
  6. Step 6: Final answer
    x = 15,696.56

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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.