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Finding the Fourth Proportional to 109,216.30, 163,824.51 and 30,330.52

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Solution

The fourth proportional to 109,216.30, 163,824.51 and 30,330.52 is: 45,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,216.30 : 163,824.51 = 30,330.52 : x
  2. Step 2: Convert to fraction form
    109,216.30/163,824.51 = 30,330.52/x
  3. Step 3: Cross multiply
    109,216.30x = 163,824.51 × 30,330.52
  4. Step 4: Simplify right side
    109,216.30x = 4,968,882,577.05
  5. Step 5: Solve for x
    x = 4,968,882,577.05/109,216.30
  6. Step 6: Final answer
    x = 45,495.80

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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.