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Finding the Fourth Proportional to 30,661.75, 45,992.63 and 9,885.25

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Solution

The fourth proportional to 30,661.75, 45,992.63 and 9,885.25 is: 14,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,661.75 : 45,992.63 = 9,885.25 : x
  2. Step 2: Convert to fraction form
    30,661.75/45,992.63 = 9,885.25/x
  3. Step 3: Cross multiply
    30,661.75x = 45,992.63 × 9,885.25
  4. Step 4: Simplify right side
    30,661.75x = 454,648,645.71
  5. Step 5: Solve for x
    x = 454,648,645.71/30,661.75
  6. Step 6: Final answer
    x = 14,827.88

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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.