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Finding the Fourth Proportional to 46,161.50, 69,214.54 and 21,170.24

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Solution

The fourth proportional to 46,161.50, 69,214.54 and 21,170.24 is: 31,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,161.50 : 69,214.54 = 21,170.24 : x
  2. Step 2: Convert to fraction form
    46,161.50/69,214.54 = 21,170.24/x
  3. Step 3: Cross multiply
    46,161.50x = 69,214.54 × 21,170.24
  4. Step 4: Simplify right side
    46,161.50x = 1,465,288,423.29
  5. Step 5: Solve for x
    x = 1,465,288,423.29/46,161.50
  6. Step 6: Final answer
    x = 31,742.65

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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.