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Finding the Fourth Proportional to 55,762.40, 76,937.10 and 31,884.14

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Solution

The fourth proportional to 55,762.40, 76,937.10 and 31,884.14 is: 43,991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.40 : 76,937.10 = 31,884.14 : x
  2. Step 2: Convert to fraction form
    55,762.40/76,937.10 = 31,884.14/x
  3. Step 3: Cross multiply
    55,762.40x = 76,937.10 × 31,884.14
  4. Step 4: Simplify right side
    55,762.40x = 2,453,073,267.59
  5. Step 5: Solve for x
    x = 2,453,073,267.59/55,762.40
  6. Step 6: Final answer
    x = 43,991.53

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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.