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Finding the Fourth Proportional to 109,802.70, 164,731.50 and 50,679.72

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Solution

The fourth proportional to 109,802.70, 164,731.50 and 50,679.72 is: 76,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,802.70 : 164,731.50 = 50,679.72 : x
  2. Step 2: Convert to fraction form
    109,802.70/164,731.50 = 50,679.72/x
  3. Step 3: Cross multiply
    109,802.70x = 164,731.50 × 50,679.72
  4. Step 4: Simplify right side
    109,802.70x = 8,348,546,295.18
  5. Step 5: Solve for x
    x = 8,348,546,295.18/109,802.70
  6. Step 6: Final answer
    x = 76,032.25

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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.