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Finding the Fourth Proportional to 49,977, 74,679.03 and 38,064.60

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Solution

The fourth proportional to 49,977, 74,679.03 and 38,064.60 is: 56,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,977 : 74,679.03 = 38,064.60 : x
  2. Step 2: Convert to fraction form
    49,977/74,679.03 = 38,064.60/x
  3. Step 3: Cross multiply
    49,977x = 74,679.03 × 38,064.60
  4. Step 4: Simplify right side
    49,977x = 2,842,627,405.34
  5. Step 5: Solve for x
    x = 2,842,627,405.34/49,977
  6. Step 6: Final answer
    x = 56,878.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.