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Finding the Fourth Proportional to 43,377, 65,074.68 and 24,666

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Solution

The fourth proportional to 43,377, 65,074.68 and 24,666 is: 37,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,377 : 65,074.68 = 24,666 : x
  2. Step 2: Convert to fraction form
    43,377/65,074.68 = 24,666/x
  3. Step 3: Cross multiply
    43,377x = 65,074.68 × 24,666
  4. Step 4: Simplify right side
    43,377x = 1,605,132,056.88
  5. Step 5: Solve for x
    x = 1,605,132,056.88/43,377
  6. Step 6: Final answer
    x = 37,004.22

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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.