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Finding the Fourth Proportional to 49,709.76, 74,538.90 and 14,644.80

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Solution

The fourth proportional to 49,709.76, 74,538.90 and 14,644.80 is: 21,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,709.76 : 74,538.90 = 14,644.80 : x
  2. Step 2: Convert to fraction form
    49,709.76/74,538.90 = 14,644.80/x
  3. Step 3: Cross multiply
    49,709.76x = 74,538.90 × 14,644.80
  4. Step 4: Simplify right side
    49,709.76x = 1,091,607,282.72
  5. Step 5: Solve for x
    x = 1,091,607,282.72/49,709.76
  6. Step 6: Final answer
    x = 21,959.62

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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.