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Finding the Fourth Proportional to 46,536.50, 69,778.27 and 31,763.32

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Solution

The fourth proportional to 46,536.50, 69,778.27 and 31,763.32 is: 47,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,536.50 : 69,778.27 = 31,763.32 : x
  2. Step 2: Convert to fraction form
    46,536.50/69,778.27 = 31,763.32/x
  3. Step 3: Cross multiply
    46,536.50x = 69,778.27 × 31,763.32
  4. Step 4: Simplify right side
    46,536.50x = 2,216,389,384.31
  5. Step 5: Solve for x
    x = 2,216,389,384.31/46,536.50
  6. Step 6: Final answer
    x = 47,626.90

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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.