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Finding the Fourth Proportional to 52,567.80, 78,851.70 and 24,919.80

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Solution

The fourth proportional to 52,567.80, 78,851.70 and 24,919.80 is: 37,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,567.80 : 78,851.70 = 24,919.80 : x
  2. Step 2: Convert to fraction form
    52,567.80/78,851.70 = 24,919.80/x
  3. Step 3: Cross multiply
    52,567.80x = 78,851.70 × 24,919.80
  4. Step 4: Simplify right side
    52,567.80x = 1,964,968,593.66
  5. Step 5: Solve for x
    x = 1,964,968,593.66/52,567.80
  6. Step 6: Final answer
    x = 37,379.70

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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.