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Finding the Fourth Proportional to 43,222.64, 64,722.81 and 34,749.32

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Solution

The fourth proportional to 43,222.64, 64,722.81 and 34,749.32 is: 52,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,222.64 : 64,722.81 = 34,749.32 : x
  2. Step 2: Convert to fraction form
    43,222.64/64,722.81 = 34,749.32/x
  3. Step 3: Cross multiply
    43,222.64x = 64,722.81 × 34,749.32
  4. Step 4: Simplify right side
    43,222.64x = 2,249,073,635.99
  5. Step 5: Solve for x
    x = 2,249,073,635.99/43,222.64
  6. Step 6: Final answer
    x = 52,034.62

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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.