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Finding the Fourth Proportional to 32,037.32, 48,064.75 and 15,411.26

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Solution

The fourth proportional to 32,037.32, 48,064.75 and 15,411.26 is: 23,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,037.32 : 48,064.75 = 15,411.26 : x
  2. Step 2: Convert to fraction form
    32,037.32/48,064.75 = 15,411.26/x
  3. Step 3: Cross multiply
    32,037.32x = 48,064.75 × 15,411.26
  4. Step 4: Simplify right side
    32,037.32x = 740,738,359.09
  5. Step 5: Solve for x
    x = 740,738,359.09/32,037.32
  6. Step 6: Final answer
    x = 23,121.11

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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.