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Finding the Fourth Proportional to 39,548.67, 59,322.32 and 9,965.85

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Solution

The fourth proportional to 39,548.67, 59,322.32 and 9,965.85 is: 14,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,548.67 : 59,322.32 = 9,965.85 : x
  2. Step 2: Convert to fraction form
    39,548.67/59,322.32 = 9,965.85/x
  3. Step 3: Cross multiply
    39,548.67x = 59,322.32 × 9,965.85
  4. Step 4: Simplify right side
    39,548.67x = 591,197,292.94
  5. Step 5: Solve for x
    x = 591,197,292.94/39,548.67
  6. Step 6: Final answer
    x = 14,948.60

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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.