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Finding the Fourth Proportional to 32,411.46, 48,624.84 and 12,684.72

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Solution

The fourth proportional to 32,411.46, 48,624.84 and 12,684.72 is: 19,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.46 : 48,624.84 = 12,684.72 : x
  2. Step 2: Convert to fraction form
    32,411.46/48,624.84 = 12,684.72/x
  3. Step 3: Cross multiply
    32,411.46x = 48,624.84 × 12,684.72
  4. Step 4: Simplify right side
    32,411.46x = 616,792,480.44
  5. Step 5: Solve for x
    x = 616,792,480.44/32,411.46
  6. Step 6: Final answer
    x = 19,030.07

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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.