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Finding the Fourth Proportional to 54,537.84, 75,264.48 and 30,665.52

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Solution

The fourth proportional to 54,537.84, 75,264.48 and 30,665.52 is: 42,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,537.84 : 75,264.48 = 30,665.52 : x
  2. Step 2: Convert to fraction form
    54,537.84/75,264.48 = 30,665.52/x
  3. Step 3: Cross multiply
    54,537.84x = 75,264.48 × 30,665.52
  4. Step 4: Simplify right side
    54,537.84x = 2,308,024,416.73
  5. Step 5: Solve for x
    x = 2,308,024,416.73/54,537.84
  6. Step 6: Final answer
    x = 42,319.69

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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.