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Finding the Fourth Proportional to 31,006.76, 46,516.86 and 9,941.90

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Solution

The fourth proportional to 31,006.76, 46,516.86 and 9,941.90 is: 14,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.76 : 46,516.86 = 9,941.90 : x
  2. Step 2: Convert to fraction form
    31,006.76/46,516.86 = 9,941.90/x
  3. Step 3: Cross multiply
    31,006.76x = 46,516.86 × 9,941.90
  4. Step 4: Simplify right side
    31,006.76x = 462,466,086.73
  5. Step 5: Solve for x
    x = 462,466,086.73/31,006.76
  6. Step 6: Final answer
    x = 14,915.01

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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.