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Finding the Fourth Proportional to 57,058.96, 78,741.96 and 31,909.84

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Solution

The fourth proportional to 57,058.96, 78,741.96 and 31,909.84 is: 44,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058.96 : 78,741.96 = 31,909.84 : x
  2. Step 2: Convert to fraction form
    57,058.96/78,741.96 = 31,909.84/x
  3. Step 3: Cross multiply
    57,058.96x = 78,741.96 × 31,909.84
  4. Step 4: Simplify right side
    57,058.96x = 2,512,643,344.89
  5. Step 5: Solve for x
    x = 2,512,643,344.89/57,058.96
  6. Step 6: Final answer
    x = 44,035.91

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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.