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Finding the Fourth Proportional to 55,836.52, 77,019.81 and 36,718.48

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Solution

The fourth proportional to 55,836.52, 77,019.81 and 36,718.48 is: 50,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,836.52 : 77,019.81 = 36,718.48 : x
  2. Step 2: Convert to fraction form
    55,836.52/77,019.81 = 36,718.48/x
  3. Step 3: Cross multiply
    55,836.52x = 77,019.81 × 36,718.48
  4. Step 4: Simplify right side
    55,836.52x = 2,828,050,353.09
  5. Step 5: Solve for x
    x = 2,828,050,353.09/55,836.52
  6. Step 6: Final answer
    x = 50,648.76

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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.