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Finding the Fourth Proportional to 113,477.17, 170,238.16 and 33,516.50

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Solution

The fourth proportional to 113,477.17, 170,238.16 and 33,516.50 is: 50,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,477.17 : 170,238.16 = 33,516.50 : x
  2. Step 2: Convert to fraction form
    113,477.17/170,238.16 = 33,516.50/x
  3. Step 3: Cross multiply
    113,477.17x = 170,238.16 × 33,516.50
  4. Step 4: Simplify right side
    113,477.17x = 5,705,787,289.64
  5. Step 5: Solve for x
    x = 5,705,787,289.64/113,477.17
  6. Step 6: Final answer
    x = 50,281.37

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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.