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Finding the Fourth Proportional to 101,629.74, 152,444.70 and 42,433.14

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Solution

The fourth proportional to 101,629.74, 152,444.70 and 42,433.14 is: 63,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,629.74 : 152,444.70 = 42,433.14 : x
  2. Step 2: Convert to fraction form
    101,629.74/152,444.70 = 42,433.14/x
  3. Step 3: Cross multiply
    101,629.74x = 152,444.70 × 42,433.14
  4. Step 4: Simplify right side
    101,629.74x = 6,468,707,297.36
  5. Step 5: Solve for x
    x = 6,468,707,297.36/101,629.74
  6. Step 6: Final answer
    x = 63,649.75

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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.