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Finding the Fourth Proportional to 32,586.10, 48,802.57 and 15,893.82

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Solution

The fourth proportional to 32,586.10, 48,802.57 and 15,893.82 is: 23,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586.10 : 48,802.57 = 15,893.82 : x
  2. Step 2: Convert to fraction form
    32,586.10/48,802.57 = 15,893.82/x
  3. Step 3: Cross multiply
    32,586.10x = 48,802.57 × 15,893.82
  4. Step 4: Simplify right side
    32,586.10x = 775,659,223.38
  5. Step 5: Solve for x
    x = 775,659,223.38/32,586.10
  6. Step 6: Final answer
    x = 23,803.38

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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.