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Finding the Fourth Proportional to 61,466.96, 92,158.32 and 22,023.20

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Solution

The fourth proportional to 61,466.96, 92,158.32 and 22,023.20 is: 33,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,466.96 : 92,158.32 = 22,023.20 : x
  2. Step 2: Convert to fraction form
    61,466.96/92,158.32 = 22,023.20/x
  3. Step 3: Cross multiply
    61,466.96x = 92,158.32 × 22,023.20
  4. Step 4: Simplify right side
    61,466.96x = 2,029,621,113.02
  5. Step 5: Solve for x
    x = 2,029,621,113.02/61,466.96
  6. Step 6: Final answer
    x = 33,019.71

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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.