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Finding the Fourth Proportional to 32,004.68, 44,146.50 and 23,037.98

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Solution

The fourth proportional to 32,004.68, 44,146.50 and 23,037.98 is: 31,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.68 : 44,146.50 = 23,037.98 : x
  2. Step 2: Convert to fraction form
    32,004.68/44,146.50 = 23,037.98/x
  3. Step 3: Cross multiply
    32,004.68x = 44,146.50 × 23,037.98
  4. Step 4: Simplify right side
    32,004.68x = 1,017,046,184.07
  5. Step 5: Solve for x
    x = 1,017,046,184.07/32,004.68
  6. Step 6: Final answer
    x = 31,778.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.