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Finding the Fourth Proportional to 106,033.77, 146,326.91 and 60,712.47

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Solution

The fourth proportional to 106,033.77, 146,326.91 and 60,712.47 is: 83,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,033.77 : 146,326.91 = 60,712.47 : x
  2. Step 2: Convert to fraction form
    106,033.77/146,326.91 = 60,712.47/x
  3. Step 3: Cross multiply
    106,033.77x = 146,326.91 × 60,712.47
  4. Step 4: Simplify right side
    106,033.77x = 8,883,867,830.01
  5. Step 5: Solve for x
    x = 8,883,867,830.01/106,033.77
  6. Step 6: Final answer
    x = 83,783.38

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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.