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Finding the Fourth Proportional to 55,699.24, 76,869.02 and 31,825.40

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Solution

The fourth proportional to 55,699.24, 76,869.02 and 31,825.40 is: 43,921.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,699.24 : 76,869.02 = 31,825.40 : x
  2. Step 2: Convert to fraction form
    55,699.24/76,869.02 = 31,825.40/x
  3. Step 3: Cross multiply
    55,699.24x = 76,869.02 × 31,825.40
  4. Step 4: Simplify right side
    55,699.24x = 2,446,387,309.11
  5. Step 5: Solve for x
    x = 2,446,387,309.11/55,699.24
  6. Step 6: Final answer
    x = 43,921.38

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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.