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Finding the Fourth Proportional to 106,570.96, 147,057.43 and 58,821.21

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Solution

The fourth proportional to 106,570.96, 147,057.43 and 58,821.21 is: 81,167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,570.96 : 147,057.43 = 58,821.21 : x
  2. Step 2: Convert to fraction form
    106,570.96/147,057.43 = 58,821.21/x
  3. Step 3: Cross multiply
    106,570.96x = 147,057.43 × 58,821.21
  4. Step 4: Simplify right side
    106,570.96x = 8,650,095,972.09
  5. Step 5: Solve for x
    x = 8,650,095,972.09/106,570.96
  6. Step 6: Final answer
    x = 81,167.48

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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.