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Finding the Fourth Proportional to 35,177.84, 52,683 and 20,355.52

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Solution

The fourth proportional to 35,177.84, 52,683 and 20,355.52 is: 30,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,177.84 : 52,683 = 20,355.52 : x
  2. Step 2: Convert to fraction form
    35,177.84/52,683 = 20,355.52/x
  3. Step 3: Cross multiply
    35,177.84x = 52,683 × 20,355.52
  4. Step 4: Simplify right side
    35,177.84x = 1,072,389,860.16
  5. Step 5: Solve for x
    x = 1,072,389,860.16/35,177.84
  6. Step 6: Final answer
    x = 30,484.81

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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.