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Finding the Fourth Proportional to 31,219.38, 46,830.44 and 9,035

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Solution

The fourth proportional to 31,219.38, 46,830.44 and 9,035 is: 13,552.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,219.38 : 46,830.44 = 9,035 : x
  2. Step 2: Convert to fraction form
    31,219.38/46,830.44 = 9,035/x
  3. Step 3: Cross multiply
    31,219.38x = 46,830.44 × 9,035
  4. Step 4: Simplify right side
    31,219.38x = 423,113,025.40
  5. Step 5: Solve for x
    x = 423,113,025.40/31,219.38
  6. Step 6: Final answer
    x = 13,552.90

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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.