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Finding the Fourth Proportional to 31,646, 47,479.40 and 12,941.78

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Solution

The fourth proportional to 31,646, 47,479.40 and 12,941.78 is: 19,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646 : 47,479.40 = 12,941.78 : x
  2. Step 2: Convert to fraction form
    31,646/47,479.40 = 12,941.78/x
  3. Step 3: Cross multiply
    31,646x = 47,479.40 × 12,941.78
  4. Step 4: Simplify right side
    31,646x = 614,467,711.94
  5. Step 5: Solve for x
    x = 614,467,711.94/31,646
  6. Step 6: Final answer
    x = 19,416.92

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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.