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Finding the Fourth Proportional to 49,751.66, 74,549.32 and 34,743.98

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Solution

The fourth proportional to 49,751.66, 74,549.32 and 34,743.98 is: 52,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,751.66 : 74,549.32 = 34,743.98 : x
  2. Step 2: Convert to fraction form
    49,751.66/74,549.32 = 34,743.98/x
  3. Step 3: Cross multiply
    49,751.66x = 74,549.32 × 34,743.98
  4. Step 4: Simplify right side
    49,751.66x = 2,590,140,083.09
  5. Step 5: Solve for x
    x = 2,590,140,083.09/49,751.66
  6. Step 6: Final answer
    x = 52,061.38

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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.