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Finding the Fourth Proportional to 109,635.76, 164,459.02 and 35,763.76

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Solution

The fourth proportional to 109,635.76, 164,459.02 and 35,763.76 is: 53,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,635.76 : 164,459.02 = 35,763.76 : x
  2. Step 2: Convert to fraction form
    109,635.76/164,459.02 = 35,763.76/x
  3. Step 3: Cross multiply
    109,635.76x = 164,459.02 × 35,763.76
  4. Step 4: Simplify right side
    109,635.76x = 5,881,672,921.12
  5. Step 5: Solve for x
    x = 5,881,672,921.12/109,635.76
  6. Step 6: Final answer
    x = 53,647.39

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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.