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Finding the Fourth Proportional to 31,289, 46,933 and 7,596.74

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Solution

The fourth proportional to 31,289, 46,933 and 7,596.74 is: 11,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,289 : 46,933 = 7,596.74 : x
  2. Step 2: Convert to fraction form
    31,289/46,933 = 7,596.74/x
  3. Step 3: Cross multiply
    31,289x = 46,933 × 7,596.74
  4. Step 4: Simplify right side
    31,289x = 356,537,798.42
  5. Step 5: Solve for x
    x = 356,537,798.42/31,289
  6. Step 6: Final answer
    x = 11,394.99

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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.