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Finding the Fourth Proportional to 31,064.43, 46,596.64 and 7,690.87

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Solution

The fourth proportional to 31,064.43, 46,596.64 and 7,690.87 is: 11,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.43 : 46,596.64 = 7,690.87 : x
  2. Step 2: Convert to fraction form
    31,064.43/46,596.64 = 7,690.87/x
  3. Step 3: Cross multiply
    31,064.43x = 46,596.64 × 7,690.87
  4. Step 4: Simplify right side
    31,064.43x = 358,368,700.68
  5. Step 5: Solve for x
    x = 358,368,700.68/31,064.43
  6. Step 6: Final answer
    x = 11,536.30

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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.