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Finding the Fourth Proportional to 106,687.51, 160,074.29 and 47,482.68

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Solution

The fourth proportional to 106,687.51, 160,074.29 and 47,482.68 is: 71,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,687.51 : 160,074.29 = 47,482.68 : x
  2. Step 2: Convert to fraction form
    106,687.51/160,074.29 = 47,482.68/x
  3. Step 3: Cross multiply
    106,687.51x = 160,074.29 × 47,482.68
  4. Step 4: Simplify right side
    106,687.51x = 7,600,756,288.30
  5. Step 5: Solve for x
    x = 7,600,756,288.30/106,687.51
  6. Step 6: Final answer
    x = 71,243.17

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Why These Related Problems?

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