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Finding the Fourth Proportional to 35,382.21, 53,064.81 and 10,415.48

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Solution

The fourth proportional to 35,382.21, 53,064.81 and 10,415.48 is: 15,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382.21 : 53,064.81 = 10,415.48 : x
  2. Step 2: Convert to fraction form
    35,382.21/53,064.81 = 10,415.48/x
  3. Step 3: Cross multiply
    35,382.21x = 53,064.81 × 10,415.48
  4. Step 4: Simplify right side
    35,382.21x = 552,695,201.93
  5. Step 5: Solve for x
    x = 552,695,201.93/35,382.21
  6. Step 6: Final answer
    x = 15,620.71

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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.