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Finding the Fourth Proportional to 31,055.86, 46,577.23 and 9,997.78

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Solution

The fourth proportional to 31,055.86, 46,577.23 and 9,997.78 is: 14,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055.86 : 46,577.23 = 9,997.78 : x
  2. Step 2: Convert to fraction form
    31,055.86/46,577.23 = 9,997.78/x
  3. Step 3: Cross multiply
    31,055.86x = 46,577.23 × 9,997.78
  4. Step 4: Simplify right side
    31,055.86x = 465,668,898.55
  5. Step 5: Solve for x
    x = 465,668,898.55/31,055.86
  6. Step 6: Final answer
    x = 14,994.56

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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.