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Finding the Fourth Proportional to 32,046, 48,072.51 and 13,328.25

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Solution

The fourth proportional to 32,046, 48,072.51 and 13,328.25 is: 19,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046 : 48,072.51 = 13,328.25 : x
  2. Step 2: Convert to fraction form
    32,046/48,072.51 = 13,328.25/x
  3. Step 3: Cross multiply
    32,046x = 48,072.51 × 13,328.25
  4. Step 4: Simplify right side
    32,046x = 640,722,431.41
  5. Step 5: Solve for x
    x = 640,722,431.41/32,046
  6. Step 6: Final answer
    x = 19,993.83

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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.