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Finding the Fourth Proportional to 35,754.90, 53,620.02 and 13,574.61

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Solution

The fourth proportional to 35,754.90, 53,620.02 and 13,574.61 is: 20,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754.90 : 53,620.02 = 13,574.61 : x
  2. Step 2: Convert to fraction form
    35,754.90/53,620.02 = 13,574.61/x
  3. Step 3: Cross multiply
    35,754.90x = 53,620.02 × 13,574.61
  4. Step 4: Simplify right side
    35,754.90x = 727,870,859.69
  5. Step 5: Solve for x
    x = 727,870,859.69/35,754.90
  6. Step 6: Final answer
    x = 20,357.23

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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.