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Finding the Fourth Proportional to 52,807, 79,201.86 and 37,177.24

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Solution

The fourth proportional to 52,807, 79,201.86 and 37,177.24 is: 55,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,807 : 79,201.86 = 37,177.24 : x
  2. Step 2: Convert to fraction form
    52,807/79,201.86 = 37,177.24/x
  3. Step 3: Cross multiply
    52,807x = 79,201.86 × 37,177.24
  4. Step 4: Simplify right side
    52,807x = 2,944,506,557.67
  5. Step 5: Solve for x
    x = 2,944,506,557.67/52,807
  6. Step 6: Final answer
    x = 55,759.78

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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.