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Finding the Fourth Proportional to 106,571.62, 147,068.85 and 58,824.98

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Solution

The fourth proportional to 106,571.62, 147,068.85 and 58,824.98 is: 81,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,571.62 : 147,068.85 = 58,824.98 : x
  2. Step 2: Convert to fraction form
    106,571.62/147,068.85 = 58,824.98/x
  3. Step 3: Cross multiply
    106,571.62x = 147,068.85 × 58,824.98
  4. Step 4: Simplify right side
    106,571.62x = 8,651,322,159.87
  5. Step 5: Solve for x
    x = 8,651,322,159.87/106,571.62
  6. Step 6: Final answer
    x = 81,178.48

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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.