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Finding the Fourth Proportional to 31,006.43, 46,509.90 and 9,946.50

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Solution

The fourth proportional to 31,006.43, 46,509.90 and 9,946.50 is: 14,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006.43 : 46,509.90 = 9,946.50 : x
  2. Step 2: Convert to fraction form
    31,006.43/46,509.90 = 9,946.50/x
  3. Step 3: Cross multiply
    31,006.43x = 46,509.90 × 9,946.50
  4. Step 4: Simplify right side
    31,006.43x = 462,610,826.21
  5. Step 5: Solve for x
    x = 462,610,826.21/31,006.43
  6. Step 6: Final answer
    x = 14,919.83

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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.