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Finding the Fourth Proportional to 31,776.84, 47,607.17 and 14,878.85

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Solution

The fourth proportional to 31,776.84, 47,607.17 and 14,878.85 is: 22,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776.84 : 47,607.17 = 14,878.85 : x
  2. Step 2: Convert to fraction form
    31,776.84/47,607.17 = 14,878.85/x
  3. Step 3: Cross multiply
    31,776.84x = 47,607.17 × 14,878.85
  4. Step 4: Simplify right side
    31,776.84x = 708,339,628.92
  5. Step 5: Solve for x
    x = 708,339,628.92/31,776.84
  6. Step 6: Final answer
    x = 22,291.07

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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.