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Finding the Fourth Proportional to 31,054.50, 46,589.04 and 10,278

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Solution

The fourth proportional to 31,054.50, 46,589.04 and 10,278 is: 15,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.50 : 46,589.04 = 10,278 : x
  2. Step 2: Convert to fraction form
    31,054.50/46,589.04 = 10,278/x
  3. Step 3: Cross multiply
    31,054.50x = 46,589.04 × 10,278
  4. Step 4: Simplify right side
    31,054.50x = 478,842,153.12
  5. Step 5: Solve for x
    x = 478,842,153.12/31,054.50
  6. Step 6: Final answer
    x = 15,419.41

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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.