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Finding the Fourth Proportional to 71,537.04, 107,223 and 52,534.80

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Solution

The fourth proportional to 71,537.04, 107,223 and 52,534.80 is: 78,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,537.04 : 107,223 = 52,534.80 : x
  2. Step 2: Convert to fraction form
    71,537.04/107,223 = 52,534.80/x
  3. Step 3: Cross multiply
    71,537.04x = 107,223 × 52,534.80
  4. Step 4: Simplify right side
    71,537.04x = 5,632,938,860.40
  5. Step 5: Solve for x
    x = 5,632,938,860.40/71,537.04
  6. Step 6: Final answer
    x = 78,741.57

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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.