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Finding the Fourth Proportional to 34,591.84, 51,878.10 and 14,866

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Solution

The fourth proportional to 34,591.84, 51,878.10 and 14,866 is: 22,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,591.84 : 51,878.10 = 14,866 : x
  2. Step 2: Convert to fraction form
    34,591.84/51,878.10 = 14,866/x
  3. Step 3: Cross multiply
    34,591.84x = 51,878.10 × 14,866
  4. Step 4: Simplify right side
    34,591.84x = 771,219,834.60
  5. Step 5: Solve for x
    x = 771,219,834.60/34,591.84
  6. Step 6: Final answer
    x = 22,294.85

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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.