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Finding the Fourth Proportional to 57,058.60, 78,739.38 and 31,564.30

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Solution

The fourth proportional to 57,058.60, 78,739.38 and 31,564.30 is: 43,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058.60 : 78,739.38 = 31,564.30 : x
  2. Step 2: Convert to fraction form
    57,058.60/78,739.38 = 31,564.30/x
  3. Step 3: Cross multiply
    57,058.60x = 78,739.38 × 31,564.30
  4. Step 4: Simplify right side
    57,058.60x = 2,485,353,412.13
  5. Step 5: Solve for x
    x = 2,485,353,412.13/57,058.60
  6. Step 6: Final answer
    x = 43,557.91

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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.