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Finding the Fourth Proportional to 57,841.23, 79,820.32 and 32,347.30

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Solution

The fourth proportional to 57,841.23, 79,820.32 and 32,347.30 is: 44,638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,841.23 : 79,820.32 = 32,347.30 : x
  2. Step 2: Convert to fraction form
    57,841.23/79,820.32 = 32,347.30/x
  3. Step 3: Cross multiply
    57,841.23x = 79,820.32 × 32,347.30
  4. Step 4: Simplify right side
    57,841.23x = 2,581,971,837.14
  5. Step 5: Solve for x
    x = 2,581,971,837.14/57,841.23
  6. Step 6: Final answer
    x = 44,638.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.