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Finding the Fourth Proportional to 32,013.40, 48,014.70 and 9,820.75

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Solution

The fourth proportional to 32,013.40, 48,014.70 and 9,820.75 is: 14,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,013.40 : 48,014.70 = 9,820.75 : x
  2. Step 2: Convert to fraction form
    32,013.40/48,014.70 = 9,820.75/x
  3. Step 3: Cross multiply
    32,013.40x = 48,014.70 × 9,820.75
  4. Step 4: Simplify right side
    32,013.40x = 471,540,365.03
  5. Step 5: Solve for x
    x = 471,540,365.03/32,013.40
  6. Step 6: Final answer
    x = 14,729.47

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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.