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Finding the Fourth Proportional to 74,222, 102,426.72 and 44,414

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Solution

The fourth proportional to 74,222, 102,426.72 and 44,414 is: 61,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,222 : 102,426.72 = 44,414 : x
  2. Step 2: Convert to fraction form
    74,222/102,426.72 = 44,414/x
  3. Step 3: Cross multiply
    74,222x = 102,426.72 × 44,414
  4. Step 4: Simplify right side
    74,222x = 4,549,180,342.08
  5. Step 5: Solve for x
    x = 4,549,180,342.08/74,222
  6. Step 6: Final answer
    x = 61,291.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.