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Finding the Fourth Proportional to 57,460.44, 79,294.86 and 32,309.76

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Solution

The fourth proportional to 57,460.44, 79,294.86 and 32,309.76 is: 44,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,460.44 : 79,294.86 = 32,309.76 : x
  2. Step 2: Convert to fraction form
    57,460.44/79,294.86 = 32,309.76/x
  3. Step 3: Cross multiply
    57,460.44x = 79,294.86 × 32,309.76
  4. Step 4: Simplify right side
    57,460.44x = 2,561,997,895.83
  5. Step 5: Solve for x
    x = 2,561,997,895.83/57,460.44
  6. Step 6: Final answer
    x = 44,587.16

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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.