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Finding the Fourth Proportional to 35,542.94, 53,276.94 and 11,844.16

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Solution

The fourth proportional to 35,542.94, 53,276.94 and 11,844.16 is: 17,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542.94 : 53,276.94 = 11,844.16 : x
  2. Step 2: Convert to fraction form
    35,542.94/53,276.94 = 11,844.16/x
  3. Step 3: Cross multiply
    35,542.94x = 53,276.94 × 11,844.16
  4. Step 4: Simplify right side
    35,542.94x = 631,020,468.48
  5. Step 5: Solve for x
    x = 631,020,468.48/35,542.94
  6. Step 6: Final answer
    x = 17,753.75

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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.