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Finding the Fourth Proportional to 31,214,433.15, 46,821,649.73 and 31,214,433.15

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Solution

The fourth proportional to 31,214,433.15, 46,821,649.73 and 31,214,433.15 is: 46,821,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214,433.15 : 46,821,649.73 = 31,214,433.15 : x
  2. Step 2: Convert to fraction form
    31,214,433.15/46,821,649.73 = 31,214,433.15/x
  3. Step 3: Cross multiply
    31,214,433.15x = 46,821,649.73 × 31,214,433.15
  4. Step 4: Simplify right side
    31,214,433.15x = 1,461,511,255,313,728.25
  5. Step 5: Solve for x
    x = 1,461,511,255,313,728.25/31,214,433.15
  6. Step 6: Final answer
    x = 46,821,649.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.