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Finding the Fourth Proportional to 35,452.38, 53,187.81 and 13,267.50

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Solution

The fourth proportional to 35,452.38, 53,187.81 and 13,267.50 is: 19,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,452.38 : 53,187.81 = 13,267.50 : x
  2. Step 2: Convert to fraction form
    35,452.38/53,187.81 = 13,267.50/x
  3. Step 3: Cross multiply
    35,452.38x = 53,187.81 × 13,267.50
  4. Step 4: Simplify right side
    35,452.38x = 705,669,269.18
  5. Step 5: Solve for x
    x = 705,669,269.18/35,452.38
  6. Step 6: Final answer
    x = 19,904.71

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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.