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Finding the Fourth Proportional to 82,242.77, 113,497.77 and 50,405.51

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Solution

The fourth proportional to 82,242.77, 113,497.77 and 50,405.51 is: 69,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,242.77 : 113,497.77 = 50,405.51 : x
  2. Step 2: Convert to fraction form
    82,242.77/113,497.77 = 50,405.51/x
  3. Step 3: Cross multiply
    82,242.77x = 113,497.77 × 50,405.51
  4. Step 4: Simplify right side
    82,242.77x = 5,720,912,413.22
  5. Step 5: Solve for x
    x = 5,720,912,413.22/82,242.77
  6. Step 6: Final answer
    x = 69,561.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.