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Finding the Fourth Proportional to 35,645.36, 53,472.90 and 14,864

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Solution

The fourth proportional to 35,645.36, 53,472.90 and 14,864 is: 22,298.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,645.36 : 53,472.90 = 14,864 : x
  2. Step 2: Convert to fraction form
    35,645.36/53,472.90 = 14,864/x
  3. Step 3: Cross multiply
    35,645.36x = 53,472.90 × 14,864
  4. Step 4: Simplify right side
    35,645.36x = 794,821,185.60
  5. Step 5: Solve for x
    x = 794,821,185.60/35,645.36
  6. Step 6: Final answer
    x = 22,298.03

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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.