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Finding the Fourth Proportional to 46,188, 69,108.98 and 32,891.71

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Solution

The fourth proportional to 46,188, 69,108.98 and 32,891.71 is: 49,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,188 : 69,108.98 = 32,891.71 : x
  2. Step 2: Convert to fraction form
    46,188/69,108.98 = 32,891.71/x
  3. Step 3: Cross multiply
    46,188x = 69,108.98 × 32,891.71
  4. Step 4: Simplify right side
    46,188x = 2,273,112,528.56
  5. Step 5: Solve for x
    x = 2,273,112,528.56/46,188
  6. Step 6: Final answer
    x = 49,214.35

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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.