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Finding the Fourth Proportional to 29,570.64, 44,369.22 and 16,065.96

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Solution

The fourth proportional to 29,570.64, 44,369.22 and 16,065.96 is: 24,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570.64 : 44,369.22 = 16,065.96 : x
  2. Step 2: Convert to fraction form
    29,570.64/44,369.22 = 16,065.96/x
  3. Step 3: Cross multiply
    29,570.64x = 44,369.22 × 16,065.96
  4. Step 4: Simplify right side
    29,570.64x = 712,834,113.75
  5. Step 5: Solve for x
    x = 712,834,113.75/29,570.64
  6. Step 6: Final answer
    x = 24,106.14

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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.