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Finding the Fourth Proportional to 57,998, 87,009.04 and 22,458.40

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Solution

The fourth proportional to 57,998, 87,009.04 and 22,458.40 is: 33,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,998 : 87,009.04 = 22,458.40 : x
  2. Step 2: Convert to fraction form
    57,998/87,009.04 = 22,458.40/x
  3. Step 3: Cross multiply
    57,998x = 87,009.04 × 22,458.40
  4. Step 4: Simplify right side
    57,998x = 1,954,083,823.94
  5. Step 5: Solve for x
    x = 1,954,083,823.94/57,998
  6. Step 6: Final answer
    x = 33,692.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.