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Finding the Fourth Proportional to 30,394.26, 45,594 and 10,671.12

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Solution

The fourth proportional to 30,394.26, 45,594 and 10,671.12 is: 16,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,394.26 : 45,594 = 10,671.12 : x
  2. Step 2: Convert to fraction form
    30,394.26/45,594 = 10,671.12/x
  3. Step 3: Cross multiply
    30,394.26x = 45,594 × 10,671.12
  4. Step 4: Simplify right side
    30,394.26x = 486,539,045.28
  5. Step 5: Solve for x
    x = 486,539,045.28/30,394.26
  6. Step 6: Final answer
    x = 16,007.60

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Why These Related Problems?

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