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Finding the Fourth Proportional to 32,598.21, 48,896.88 and 10,411.29

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Solution

The fourth proportional to 32,598.21, 48,896.88 and 10,411.29 is: 15,616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,598.21 : 48,896.88 = 10,411.29 : x
  2. Step 2: Convert to fraction form
    32,598.21/48,896.88 = 10,411.29/x
  3. Step 3: Cross multiply
    32,598.21x = 48,896.88 × 10,411.29
  4. Step 4: Simplify right side
    32,598.21x = 509,079,597.78
  5. Step 5: Solve for x
    x = 509,079,597.78/32,598.21
  6. Step 6: Final answer
    x = 15,616.80

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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.