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Finding the Fourth Proportional to 40,893.84, 61,353.72 and 14,598

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Solution

The fourth proportional to 40,893.84, 61,353.72 and 14,598 is: 21,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,893.84 : 61,353.72 = 14,598 : x
  2. Step 2: Convert to fraction form
    40,893.84/61,353.72 = 14,598/x
  3. Step 3: Cross multiply
    40,893.84x = 61,353.72 × 14,598
  4. Step 4: Simplify right side
    40,893.84x = 895,641,604.56
  5. Step 5: Solve for x
    x = 895,641,604.56/40,893.84
  6. Step 6: Final answer
    x = 21,901.63

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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.