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Finding the Fourth Proportional to 54,637.40, 75,402.42 and 33,410

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Solution

The fourth proportional to 54,637.40, 75,402.42 and 33,410 is: 46,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,637.40 : 75,402.42 = 33,410 : x
  2. Step 2: Convert to fraction form
    54,637.40/75,402.42 = 33,410/x
  3. Step 3: Cross multiply
    54,637.40x = 75,402.42 × 33,410
  4. Step 4: Simplify right side
    54,637.40x = 2,519,194,852.20
  5. Step 5: Solve for x
    x = 2,519,194,852.20/54,637.40
  6. Step 6: Final answer
    x = 46,107.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.