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Finding the Fourth Proportional to 109,488.30, 164,232.45 and 30,602.40

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Solution

The fourth proportional to 109,488.30, 164,232.45 and 30,602.40 is: 45,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,488.30 : 164,232.45 = 30,602.40 : x
  2. Step 2: Convert to fraction form
    109,488.30/164,232.45 = 30,602.40/x
  3. Step 3: Cross multiply
    109,488.30x = 164,232.45 × 30,602.40
  4. Step 4: Simplify right side
    109,488.30x = 5,025,907,127.88
  5. Step 5: Solve for x
    x = 5,025,907,127.88/109,488.30
  6. Step 6: Final answer
    x = 45,903.60

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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.