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Finding the Fourth Proportional to 52,453.80, 78,709.50 and 24,751.08

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Solution

The fourth proportional to 52,453.80, 78,709.50 and 24,751.08 is: 37,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,453.80 : 78,709.50 = 24,751.08 : x
  2. Step 2: Convert to fraction form
    52,453.80/78,709.50 = 24,751.08/x
  3. Step 3: Cross multiply
    52,453.80x = 78,709.50 × 24,751.08
  4. Step 4: Simplify right side
    52,453.80x = 1,948,145,131.26
  5. Step 5: Solve for x
    x = 1,948,145,131.26/52,453.80
  6. Step 6: Final answer
    x = 37,140.21

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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.