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Finding the Fourth Proportional to 32,586.80, 48,774.09 and 17,758.94

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Solution

The fourth proportional to 32,586.80, 48,774.09 and 17,758.94 is: 26,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586.80 : 48,774.09 = 17,758.94 : x
  2. Step 2: Convert to fraction form
    32,586.80/48,774.09 = 17,758.94/x
  3. Step 3: Cross multiply
    32,586.80x = 48,774.09 × 17,758.94
  4. Step 4: Simplify right side
    32,586.80x = 866,176,137.86
  5. Step 5: Solve for x
    x = 866,176,137.86/32,586.80
  6. Step 6: Final answer
    x = 26,580.58

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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.