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Finding the Fourth Proportional to 34,731.16, 52,096.34 and 8,435.90

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Solution

The fourth proportional to 34,731.16, 52,096.34 and 8,435.90 is: 12,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,731.16 : 52,096.34 = 8,435.90 : x
  2. Step 2: Convert to fraction form
    34,731.16/52,096.34 = 8,435.90/x
  3. Step 3: Cross multiply
    34,731.16x = 52,096.34 × 8,435.90
  4. Step 4: Simplify right side
    34,731.16x = 439,479,514.61
  5. Step 5: Solve for x
    x = 439,479,514.61/34,731.16
  6. Step 6: Final answer
    x = 12,653.75

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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.