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Finding the Fourth Proportional to 30,910.72, 46,373.07 and 9,851.96

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Solution

The fourth proportional to 30,910.72, 46,373.07 and 9,851.96 is: 14,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,910.72 : 46,373.07 = 9,851.96 : x
  2. Step 2: Convert to fraction form
    30,910.72/46,373.07 = 9,851.96/x
  3. Step 3: Cross multiply
    30,910.72x = 46,373.07 × 9,851.96
  4. Step 4: Simplify right side
    30,910.72x = 456,865,630.72
  5. Step 5: Solve for x
    x = 456,865,630.72/30,910.72
  6. Step 6: Final answer
    x = 14,780.17

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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.