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Finding the Fourth Proportional to 52,379.69, 78,507.06 and 36,498.71

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Solution

The fourth proportional to 52,379.69, 78,507.06 and 36,498.71 is: 54,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,379.69 : 78,507.06 = 36,498.71 : x
  2. Step 2: Convert to fraction form
    52,379.69/78,507.06 = 36,498.71/x
  3. Step 3: Cross multiply
    52,379.69x = 78,507.06 × 36,498.71
  4. Step 4: Simplify right side
    52,379.69x = 2,865,406,023.36
  5. Step 5: Solve for x
    x = 2,865,406,023.36/52,379.69
  6. Step 6: Final answer
    x = 54,704.53

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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.