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Finding the Fourth Proportional to 85,614.10, 128,389.22 and 29,438.32

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Solution

The fourth proportional to 85,614.10, 128,389.22 and 29,438.32 is: 44,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,614.10 : 128,389.22 = 29,438.32 : x
  2. Step 2: Convert to fraction form
    85,614.10/128,389.22 = 29,438.32/x
  3. Step 3: Cross multiply
    85,614.10x = 128,389.22 × 29,438.32
  4. Step 4: Simplify right side
    85,614.10x = 3,779,562,942.91
  5. Step 5: Solve for x
    x = 3,779,562,942.91/85,614.10
  6. Step 6: Final answer
    x = 44,146.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.