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Finding the Fourth Proportional to 53,363.50, 73,643.10 and 29,491.72

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Solution

The fourth proportional to 53,363.50, 73,643.10 and 29,491.72 is: 40,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,363.50 : 73,643.10 = 29,491.72 : x
  2. Step 2: Convert to fraction form
    53,363.50/73,643.10 = 29,491.72/x
  3. Step 3: Cross multiply
    53,363.50x = 73,643.10 × 29,491.72
  4. Step 4: Simplify right side
    53,363.50x = 2,171,861,685.13
  5. Step 5: Solve for x
    x = 2,171,861,685.13/53,363.50
  6. Step 6: Final answer
    x = 40,699.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.