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Finding the Fourth Proportional to 31,274.84, 46,910.95 and 9,087.77

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Solution

The fourth proportional to 31,274.84, 46,910.95 and 9,087.77 is: 13,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.84 : 46,910.95 = 9,087.77 : x
  2. Step 2: Convert to fraction form
    31,274.84/46,910.95 = 9,087.77/x
  3. Step 3: Cross multiply
    31,274.84x = 46,910.95 × 9,087.77
  4. Step 4: Simplify right side
    31,274.84x = 426,315,924.08
  5. Step 5: Solve for x
    x = 426,315,924.08/31,274.84
  6. Step 6: Final answer
    x = 13,631.27

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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.