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Finding the Fourth Proportional to 71,090.74, 106,175.22 and 64,413.91

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Solution

The fourth proportional to 71,090.74, 106,175.22 and 64,413.91 is: 96,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,090.74 : 106,175.22 = 64,413.91 : x
  2. Step 2: Convert to fraction form
    71,090.74/106,175.22 = 64,413.91/x
  3. Step 3: Cross multiply
    71,090.74x = 106,175.22 × 64,413.91
  4. Step 4: Simplify right side
    71,090.74x = 6,839,161,137.64
  5. Step 5: Solve for x
    x = 6,839,161,137.64/71,090.74
  6. Step 6: Final answer
    x = 96,203.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.