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Finding the Fourth Proportional to 31,176.34, 46,782.95 and 11,468.72

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Solution

The fourth proportional to 31,176.34, 46,782.95 and 11,468.72 is: 17,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.34 : 46,782.95 = 11,468.72 : x
  2. Step 2: Convert to fraction form
    31,176.34/46,782.95 = 11,468.72/x
  3. Step 3: Cross multiply
    31,176.34x = 46,782.95 × 11,468.72
  4. Step 4: Simplify right side
    31,176.34x = 536,540,613.94
  5. Step 5: Solve for x
    x = 536,540,613.94/31,176.34
  6. Step 6: Final answer
    x = 17,209.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.