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Finding the Fourth Proportional to 92,030.96, 138,053.74 and 24,563.22

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Solution

The fourth proportional to 92,030.96, 138,053.74 and 24,563.22 is: 36,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,030.96 : 138,053.74 = 24,563.22 : x
  2. Step 2: Convert to fraction form
    92,030.96/138,053.74 = 24,563.22/x
  3. Step 3: Cross multiply
    92,030.96x = 138,053.74 × 24,563.22
  4. Step 4: Simplify right side
    92,030.96x = 3,391,044,387.44
  5. Step 5: Solve for x
    x = 3,391,044,387.44/92,030.96
  6. Step 6: Final answer
    x = 36,846.78

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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.