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Finding the Fourth Proportional to 57,058.40, 78,737.04 and 31,564.16

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Solution

The fourth proportional to 57,058.40, 78,737.04 and 31,564.16 is: 43,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058.40 : 78,737.04 = 31,564.16 : x
  2. Step 2: Convert to fraction form
    57,058.40/78,737.04 = 31,564.16/x
  3. Step 3: Cross multiply
    57,058.40x = 78,737.04 × 31,564.16
  4. Step 4: Simplify right side
    57,058.40x = 2,485,268,528.49
  5. Step 5: Solve for x
    x = 2,485,268,528.49/57,058.40
  6. Step 6: Final answer
    x = 43,556.58

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