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Finding the Fourth Proportional to 31,028.70, 46,545.81 and 9,961.08

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Solution

The fourth proportional to 31,028.70, 46,545.81 and 9,961.08 is: 14,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.70 : 46,545.81 = 9,961.08 : x
  2. Step 2: Convert to fraction form
    31,028.70/46,545.81 = 9,961.08/x
  3. Step 3: Cross multiply
    31,028.70x = 46,545.81 × 9,961.08
  4. Step 4: Simplify right side
    31,028.70x = 463,646,325.17
  5. Step 5: Solve for x
    x = 463,646,325.17/31,028.70
  6. Step 6: Final answer
    x = 14,942.50

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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.