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Finding the Fourth Proportional to 32,399.50, 48,599.26 and 9,026.54

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Solution

The fourth proportional to 32,399.50, 48,599.26 and 9,026.54 is: 13,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,399.50 : 48,599.26 = 9,026.54 : x
  2. Step 2: Convert to fraction form
    32,399.50/48,599.26 = 9,026.54/x
  3. Step 3: Cross multiply
    32,399.50x = 48,599.26 × 9,026.54
  4. Step 4: Simplify right side
    32,399.50x = 438,683,164.36
  5. Step 5: Solve for x
    x = 438,683,164.36/32,399.50
  6. Step 6: Final answer
    x = 13,539.81

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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.