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Finding the Fourth Proportional to 106,464.04, 146,927.10 and 58,717.48

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Solution

The fourth proportional to 106,464.04, 146,927.10 and 58,717.48 is: 81,033.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,464.04 : 146,927.10 = 58,717.48 : x
  2. Step 2: Convert to fraction form
    106,464.04/146,927.10 = 58,717.48/x
  3. Step 3: Cross multiply
    106,464.04x = 146,927.10 × 58,717.48
  4. Step 4: Simplify right side
    106,464.04x = 8,627,189,055.71
  5. Step 5: Solve for x
    x = 8,627,189,055.71/106,464.04
  6. Step 6: Final answer
    x = 81,033.83

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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.