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Finding the Fourth Proportional to 61,930.72, 92,907.24 and 22,543.12

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Solution

The fourth proportional to 61,930.72, 92,907.24 and 22,543.12 is: 33,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,930.72 : 92,907.24 = 22,543.12 : x
  2. Step 2: Convert to fraction form
    61,930.72/92,907.24 = 22,543.12/x
  3. Step 3: Cross multiply
    61,930.72x = 92,907.24 × 22,543.12
  4. Step 4: Simplify right side
    61,930.72x = 2,094,419,060.19
  5. Step 5: Solve for x
    x = 2,094,419,060.19/61,930.72
  6. Step 6: Final answer
    x = 33,818.74

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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.