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Finding the Fourth Proportional to 74,408.94, 102,678.96 and 42,134.25

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Solution

The fourth proportional to 74,408.94, 102,678.96 and 42,134.25 is: 58,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,408.94 : 102,678.96 = 42,134.25 : x
  2. Step 2: Convert to fraction form
    74,408.94/102,678.96 = 42,134.25/x
  3. Step 3: Cross multiply
    74,408.94x = 102,678.96 × 42,134.25
  4. Step 4: Simplify right side
    74,408.94x = 4,326,300,970.38
  5. Step 5: Solve for x
    x = 4,326,300,970.38/74,408.94
  6. Step 6: Final answer
    x = 58,142.22

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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.