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Finding the Fourth Proportional to 31,055, 46,589.79 and 10,278.50

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Solution

The fourth proportional to 31,055, 46,589.79 and 10,278.50 is: 15,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,055 : 46,589.79 = 10,278.50 : x
  2. Step 2: Convert to fraction form
    31,055/46,589.79 = 10,278.50/x
  3. Step 3: Cross multiply
    31,055x = 46,589.79 × 10,278.50
  4. Step 4: Simplify right side
    31,055x = 478,873,156.52
  5. Step 5: Solve for x
    x = 478,873,156.52/31,055
  6. Step 6: Final answer
    x = 15,420.16

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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.