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Finding the Fourth Proportional to 32,467.84, 48,708.38 and 12,476.50

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Solution

The fourth proportional to 32,467.84, 48,708.38 and 12,476.50 is: 18,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467.84 : 48,708.38 = 12,476.50 : x
  2. Step 2: Convert to fraction form
    32,467.84/48,708.38 = 12,476.50/x
  3. Step 3: Cross multiply
    32,467.84x = 48,708.38 × 12,476.50
  4. Step 4: Simplify right side
    32,467.84x = 607,710,103.07
  5. Step 5: Solve for x
    x = 607,710,103.07/32,467.84
  6. Step 6: Final answer
    x = 18,717.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.