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Finding the Fourth Proportional to 113,775.47, 170,690.56 and 43,654.78

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Solution

The fourth proportional to 113,775.47, 170,690.56 and 43,654.78 is: 65,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,775.47 : 170,690.56 = 43,654.78 : x
  2. Step 2: Convert to fraction form
    113,775.47/170,690.56 = 43,654.78/x
  3. Step 3: Cross multiply
    113,775.47x = 170,690.56 × 43,654.78
  4. Step 4: Simplify right side
    113,775.47x = 7,451,458,949.10
  5. Step 5: Solve for x
    x = 7,451,458,949.10/113,775.47
  6. Step 6: Final answer
    x = 65,492.67

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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.