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Finding the Fourth Proportional to 109,689.60, 164,486.40 and 50,505.60

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Solution

The fourth proportional to 109,689.60, 164,486.40 and 50,505.60 is: 75,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,689.60 : 164,486.40 = 50,505.60 : x
  2. Step 2: Convert to fraction form
    109,689.60/164,486.40 = 50,505.60/x
  3. Step 3: Cross multiply
    109,689.60x = 164,486.40 × 50,505.60
  4. Step 4: Simplify right side
    109,689.60x = 8,307,484,323.84
  5. Step 5: Solve for x
    x = 8,307,484,323.84/109,689.60
  6. Step 6: Final answer
    x = 75,736.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.