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Finding the Fourth Proportional to 106,494.48, 146,956.44 and 58,738.32

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Solution

The fourth proportional to 106,494.48, 146,956.44 and 58,738.32 is: 81,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,494.48 : 146,956.44 = 58,738.32 : x
  2. Step 2: Convert to fraction form
    106,494.48/146,956.44 = 58,738.32/x
  3. Step 3: Cross multiply
    106,494.48x = 146,956.44 × 58,738.32
  4. Step 4: Simplify right side
    106,494.48x = 8,631,974,398.78
  5. Step 5: Solve for x
    x = 8,631,974,398.78/106,494.48
  6. Step 6: Final answer
    x = 81,055.60

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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.