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Finding the Fourth Proportional to 43,284.94, 64,931.92 and 11,695.21

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Solution

The fourth proportional to 43,284.94, 64,931.92 and 11,695.21 is: 17,544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,284.94 : 64,931.92 = 11,695.21 : x
  2. Step 2: Convert to fraction form
    43,284.94/64,931.92 = 11,695.21/x
  3. Step 3: Cross multiply
    43,284.94x = 64,931.92 × 11,695.21
  4. Step 4: Simplify right side
    43,284.94x = 759,392,414.71
  5. Step 5: Solve for x
    x = 759,392,414.71/43,284.94
  6. Step 6: Final answer
    x = 17,544.03

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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.