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Finding the Fourth Proportional to 53,253, 79,834.38 and 35,669

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Solution

The fourth proportional to 53,253, 79,834.38 and 35,669 is: 53,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,253 : 79,834.38 = 35,669 : x
  2. Step 2: Convert to fraction form
    53,253/79,834.38 = 35,669/x
  3. Step 3: Cross multiply
    53,253x = 79,834.38 × 35,669
  4. Step 4: Simplify right side
    53,253x = 2,847,612,500.22
  5. Step 5: Solve for x
    x = 2,847,612,500.22/53,253
  6. Step 6: Final answer
    x = 53,473.28

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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.