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Finding the Fourth Proportional to 32,411.29, 48,616.94 and 10,226.40

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Solution

The fourth proportional to 32,411.29, 48,616.94 and 10,226.40 is: 15,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.29 : 48,616.94 = 10,226.40 : x
  2. Step 2: Convert to fraction form
    32,411.29/48,616.94 = 10,226.40/x
  3. Step 3: Cross multiply
    32,411.29x = 48,616.94 × 10,226.40
  4. Step 4: Simplify right side
    32,411.29x = 497,175,981.00
  5. Step 5: Solve for x
    x = 497,175,981.00/32,411.29
  6. Step 6: Final answer
    x = 15,339.59

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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.