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Finding the Fourth Proportional to 71,212.80, 106,821.36 and 24,465

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Solution

The fourth proportional to 71,212.80, 106,821.36 and 24,465 is: 36,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,212.80 : 106,821.36 = 24,465 : x
  2. Step 2: Convert to fraction form
    71,212.80/106,821.36 = 24,465/x
  3. Step 3: Cross multiply
    71,212.80x = 106,821.36 × 24,465
  4. Step 4: Simplify right side
    71,212.80x = 2,613,384,572.40
  5. Step 5: Solve for x
    x = 2,613,384,572.40/71,212.80
  6. Step 6: Final answer
    x = 36,698.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.