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Finding the Fourth Proportional to 55,356.40, 83,067.41 and 51,853.76

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Solution

The fourth proportional to 55,356.40, 83,067.41 and 51,853.76 is: 77,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,356.40 : 83,067.41 = 51,853.76 : x
  2. Step 2: Convert to fraction form
    55,356.40/83,067.41 = 51,853.76/x
  3. Step 3: Cross multiply
    55,356.40x = 83,067.41 × 51,853.76
  4. Step 4: Simplify right side
    55,356.40x = 4,307,357,541.96
  5. Step 5: Solve for x
    x = 4,307,357,541.96/55,356.40
  6. Step 6: Final answer
    x = 77,811.37

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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.