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Finding the Fourth Proportional to 30,442.35, 45,668.07 and 10,717.43

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Solution

The fourth proportional to 30,442.35, 45,668.07 and 10,717.43 is: 16,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.35 : 45,668.07 = 10,717.43 : x
  2. Step 2: Convert to fraction form
    30,442.35/45,668.07 = 10,717.43/x
  3. Step 3: Cross multiply
    30,442.35x = 45,668.07 × 10,717.43
  4. Step 4: Simplify right side
    30,442.35x = 489,444,115.12
  5. Step 5: Solve for x
    x = 489,444,115.12/30,442.35
  6. Step 6: Final answer
    x = 16,077.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.