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Finding the Fourth Proportional to 74,514, 102,777.24 and 49,012.32

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Solution

The fourth proportional to 74,514, 102,777.24 and 49,012.32 is: 67,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,514 : 102,777.24 = 49,012.32 : x
  2. Step 2: Convert to fraction form
    74,514/102,777.24 = 49,012.32/x
  3. Step 3: Cross multiply
    74,514x = 102,777.24 × 49,012.32
  4. Step 4: Simplify right side
    74,514x = 5,037,350,975.60
  5. Step 5: Solve for x
    x = 5,037,350,975.60/74,514
  6. Step 6: Final answer
    x = 67,602.75

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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.