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Finding the Fourth Proportional to 109,282.10, 163,923.15 and 35,410.10

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Solution

The fourth proportional to 109,282.10, 163,923.15 and 35,410.10 is: 53,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,282.10 : 163,923.15 = 35,410.10 : x
  2. Step 2: Convert to fraction form
    109,282.10/163,923.15 = 35,410.10/x
  3. Step 3: Cross multiply
    109,282.10x = 163,923.15 × 35,410.10
  4. Step 4: Simplify right side
    109,282.10x = 5,804,535,133.82
  5. Step 5: Solve for x
    x = 5,804,535,133.82/109,282.10
  6. Step 6: Final answer
    x = 53,115.15

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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.