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Finding the Fourth Proportional to 55,090.60, 82,722.30 and 31,762.60

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Solution

The fourth proportional to 55,090.60, 82,722.30 and 31,762.60 is: 47,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,090.60 : 82,722.30 = 31,762.60 : x
  2. Step 2: Convert to fraction form
    55,090.60/82,722.30 = 31,762.60/x
  3. Step 3: Cross multiply
    55,090.60x = 82,722.30 × 31,762.60
  4. Step 4: Simplify right side
    55,090.60x = 2,627,475,325.98
  5. Step 5: Solve for x
    x = 2,627,475,325.98/55,090.60
  6. Step 6: Final answer
    x = 47,693.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.