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Finding the Fourth Proportional to 74,419, 102,698.94 and 40,885.72

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Solution

The fourth proportional to 74,419, 102,698.94 and 40,885.72 is: 56,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,419 : 102,698.94 = 40,885.72 : x
  2. Step 2: Convert to fraction form
    74,419/102,698.94 = 40,885.72/x
  3. Step 3: Cross multiply
    74,419x = 102,698.94 × 40,885.72
  4. Step 4: Simplify right side
    74,419x = 4,198,920,105.14
  5. Step 5: Solve for x
    x = 4,198,920,105.14/74,419
  6. Step 6: Final answer
    x = 56,422.69

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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.