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Finding the Fourth Proportional to 54,897.54, 75,709.71 and 42,801

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Solution

The fourth proportional to 54,897.54, 75,709.71 and 42,801 is: 59,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,897.54 : 75,709.71 = 42,801 : x
  2. Step 2: Convert to fraction form
    54,897.54/75,709.71 = 42,801/x
  3. Step 3: Cross multiply
    54,897.54x = 75,709.71 × 42,801
  4. Step 4: Simplify right side
    54,897.54x = 3,240,451,297.71
  5. Step 5: Solve for x
    x = 3,240,451,297.71/54,897.54
  6. Step 6: Final answer
    x = 59,027.26

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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.