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Finding the Fourth Proportional to 57,240.81, 78,991.81 and 32,090.31

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Solution

The fourth proportional to 57,240.81, 78,991.81 and 32,090.31 is: 44,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240.81 : 78,991.81 = 32,090.31 : x
  2. Step 2: Convert to fraction form
    57,240.81/78,991.81 = 32,090.31/x
  3. Step 3: Cross multiply
    57,240.81x = 78,991.81 × 32,090.31
  4. Step 4: Simplify right side
    57,240.81x = 2,534,871,590.14
  5. Step 5: Solve for x
    x = 2,534,871,590.14/57,240.81
  6. Step 6: Final answer
    x = 44,284.34

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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.