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Finding the Fourth Proportional to 32,775, 49,158.32 and 10,586.07

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Solution

The fourth proportional to 32,775, 49,158.32 and 10,586.07 is: 15,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,775 : 49,158.32 = 10,586.07 : x
  2. Step 2: Convert to fraction form
    32,775/49,158.32 = 10,586.07/x
  3. Step 3: Cross multiply
    32,775x = 49,158.32 × 10,586.07
  4. Step 4: Simplify right side
    32,775x = 520,393,363.67
  5. Step 5: Solve for x
    x = 520,393,363.67/32,775
  6. Step 6: Final answer
    x = 15,877.75

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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.