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Finding the Fourth Proportional to 106,175.93, 159,263.84 and 38,713.01

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Solution

The fourth proportional to 106,175.93, 159,263.84 and 38,713.01 is: 58,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,175.93 : 159,263.84 = 38,713.01 : x
  2. Step 2: Convert to fraction form
    106,175.93/159,263.84 = 38,713.01/x
  3. Step 3: Cross multiply
    106,175.93x = 159,263.84 × 38,713.01
  4. Step 4: Simplify right side
    106,175.93x = 6,165,581,640.67
  5. Step 5: Solve for x
    x = 6,165,581,640.67/106,175.93
  6. Step 6: Final answer
    x = 58,069.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.