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Finding the Fourth Proportional to 35,936.49, 53,952.20 and 30,705

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Solution

The fourth proportional to 35,936.49, 53,952.20 and 30,705 is: 46,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,936.49 : 53,952.20 = 30,705 : x
  2. Step 2: Convert to fraction form
    35,936.49/53,952.20 = 30,705/x
  3. Step 3: Cross multiply
    35,936.49x = 53,952.20 × 30,705
  4. Step 4: Simplify right side
    35,936.49x = 1,656,602,147.48
  5. Step 5: Solve for x
    x = 1,656,602,147.48/35,936.49
  6. Step 6: Final answer
    x = 46,098.05

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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.