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Finding the Fourth Proportional to 109,410.31, 164,143.14 and 30,524.50

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Solution

The fourth proportional to 109,410.31, 164,143.14 and 30,524.50 is: 45,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,410.31 : 164,143.14 = 30,524.50 : x
  2. Step 2: Convert to fraction form
    109,410.31/164,143.14 = 30,524.50/x
  3. Step 3: Cross multiply
    109,410.31x = 164,143.14 × 30,524.50
  4. Step 4: Simplify right side
    109,410.31x = 5,010,386,303.59
  5. Step 5: Solve for x
    x = 5,010,386,303.59/109,410.31
  6. Step 6: Final answer
    x = 45,794.46

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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.