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Finding the Fourth Proportional to 32,150.26, 48,256.49 and 15,522

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Solution

The fourth proportional to 32,150.26, 48,256.49 and 15,522 is: 23,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.26 : 48,256.49 = 15,522 : x
  2. Step 2: Convert to fraction form
    32,150.26/48,256.49 = 15,522/x
  3. Step 3: Cross multiply
    32,150.26x = 48,256.49 × 15,522
  4. Step 4: Simplify right side
    32,150.26x = 749,037,237.78
  5. Step 5: Solve for x
    x = 749,037,237.78/32,150.26
  6. Step 6: Final answer
    x = 23,298.01

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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.