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Finding the Fourth Proportional to 31,021.07, 46,508.93 and 9,949.11

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Solution

The fourth proportional to 31,021.07, 46,508.93 and 9,949.11 is: 14,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.07 : 46,508.93 = 9,949.11 : x
  2. Step 2: Convert to fraction form
    31,021.07/46,508.93 = 9,949.11/x
  3. Step 3: Cross multiply
    31,021.07x = 46,508.93 × 9,949.11
  4. Step 4: Simplify right side
    31,021.07x = 462,722,410.81
  5. Step 5: Solve for x
    x = 462,722,410.81/31,021.07
  6. Step 6: Final answer
    x = 14,916.39

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1.5x scale

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.