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Finding the Fourth Proportional to 73,968.38, 102,051.44 and 42,114.74

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Solution

The fourth proportional to 73,968.38, 102,051.44 and 42,114.74 is: 58,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,968.38 : 102,051.44 = 42,114.74 : x
  2. Step 2: Convert to fraction form
    73,968.38/102,051.44 = 42,114.74/x
  3. Step 3: Cross multiply
    73,968.38x = 102,051.44 × 42,114.74
  4. Step 4: Simplify right side
    73,968.38x = 4,297,869,862.23
  5. Step 5: Solve for x
    x = 4,297,869,862.23/73,968.38
  6. Step 6: Final answer
    x = 58,104.15

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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.