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Finding the Fourth Proportional to 32,588.50, 48,806.18 and 15,896.24

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Solution

The fourth proportional to 32,588.50, 48,806.18 and 15,896.24 is: 23,807.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,588.50 : 48,806.18 = 15,896.24 : x
  2. Step 2: Convert to fraction form
    32,588.50/48,806.18 = 15,896.24/x
  3. Step 3: Cross multiply
    32,588.50x = 48,806.18 × 15,896.24
  4. Step 4: Simplify right side
    32,588.50x = 775,834,750.76
  5. Step 5: Solve for x
    x = 775,834,750.76/32,588.50
  6. Step 6: Final answer
    x = 23,807.01

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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.