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Finding the Fourth Proportional to 49,509.96, 68,208.24 and 40,504.98

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Solution

The fourth proportional to 49,509.96, 68,208.24 and 40,504.98 is: 55,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.96 : 68,208.24 = 40,504.98 : x
  2. Step 2: Convert to fraction form
    49,509.96/68,208.24 = 40,504.98/x
  3. Step 3: Cross multiply
    49,509.96x = 68,208.24 × 40,504.98
  4. Step 4: Simplify right side
    49,509.96x = 2,762,773,397.04
  5. Step 5: Solve for x
    x = 2,762,773,397.04/49,509.96
  6. Step 6: Final answer
    x = 55,802.38

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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.