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Finding the Fourth Proportional to 32,083.44, 48,129.48 and 11,302.08

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Solution

The fourth proportional to 32,083.44, 48,129.48 and 11,302.08 is: 16,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.44 : 48,129.48 = 11,302.08 : x
  2. Step 2: Convert to fraction form
    32,083.44/48,129.48 = 11,302.08/x
  3. Step 3: Cross multiply
    32,083.44x = 48,129.48 × 11,302.08
  4. Step 4: Simplify right side
    32,083.44x = 543,963,233.32
  5. Step 5: Solve for x
    x = 543,963,233.32/32,083.44
  6. Step 6: Final answer
    x = 16,954.64

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1.5x scale

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.