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Finding the Fourth Proportional to 49,375.76, 74,061.48 and 14,314.64

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Solution

The fourth proportional to 49,375.76, 74,061.48 and 14,314.64 is: 21,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,375.76 : 74,061.48 = 14,314.64 : x
  2. Step 2: Convert to fraction form
    49,375.76/74,061.48 = 14,314.64/x
  3. Step 3: Cross multiply
    49,375.76x = 74,061.48 × 14,314.64
  4. Step 4: Simplify right side
    49,375.76x = 1,060,163,424.07
  5. Step 5: Solve for x
    x = 1,060,163,424.07/49,375.76
  6. Step 6: Final answer
    x = 21,471.33

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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.