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Finding the Fourth Proportional to 34,426.29, 51,641.90 and 14,415.65

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Solution

The fourth proportional to 34,426.29, 51,641.90 and 14,415.65 is: 21,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,426.29 : 51,641.90 = 14,415.65 : x
  2. Step 2: Convert to fraction form
    34,426.29/51,641.90 = 14,415.65/x
  3. Step 3: Cross multiply
    34,426.29x = 51,641.90 × 14,415.65
  4. Step 4: Simplify right side
    34,426.29x = 744,451,225.45
  5. Step 5: Solve for x
    x = 744,451,225.45/34,426.29
  6. Step 6: Final answer
    x = 21,624.50

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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.