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Finding the Fourth Proportional to 75,602, 113,370.24 and 22,999.28

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Solution

The fourth proportional to 75,602, 113,370.24 and 22,999.28 is: 34,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,602 : 113,370.24 = 22,999.28 : x
  2. Step 2: Convert to fraction form
    75,602/113,370.24 = 22,999.28/x
  3. Step 3: Cross multiply
    75,602x = 113,370.24 × 22,999.28
  4. Step 4: Simplify right side
    75,602x = 2,607,433,893.43
  5. Step 5: Solve for x
    x = 2,607,433,893.43/75,602
  6. Step 6: Final answer
    x = 34,488.95

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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.