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Finding the Fourth Proportional to 27,053.46, 40,594.73 and 13,202.46

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Solution

The fourth proportional to 27,053.46, 40,594.73 and 13,202.46 is: 19,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,053.46 : 40,594.73 = 13,202.46 : x
  2. Step 2: Convert to fraction form
    27,053.46/40,594.73 = 13,202.46/x
  3. Step 3: Cross multiply
    27,053.46x = 40,594.73 × 13,202.46
  4. Step 4: Simplify right side
    27,053.46x = 535,950,233.02
  5. Step 5: Solve for x
    x = 535,950,233.02/27,053.46
  6. Step 6: Final answer
    x = 19,810.78

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1.5x scale

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.