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Finding the Fourth Proportional to 101,616.24, 152,424.39 and 42,419.64

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Solution

The fourth proportional to 101,616.24, 152,424.39 and 42,419.64 is: 63,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,616.24 : 152,424.39 = 42,419.64 : x
  2. Step 2: Convert to fraction form
    101,616.24/152,424.39 = 42,419.64/x
  3. Step 3: Cross multiply
    101,616.24x = 152,424.39 × 42,419.64
  4. Step 4: Simplify right side
    101,616.24x = 6,465,787,751.02
  5. Step 5: Solve for x
    x = 6,465,787,751.02/101,616.24
  6. Step 6: Final answer
    x = 63,629.47

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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.