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Finding the Fourth Proportional to 32,592.26, 48,889.35 and 9,216.26

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Solution

The fourth proportional to 32,592.26, 48,889.35 and 9,216.26 is: 13,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,592.26 : 48,889.35 = 9,216.26 : x
  2. Step 2: Convert to fraction form
    32,592.26/48,889.35 = 9,216.26/x
  3. Step 3: Cross multiply
    32,592.26x = 48,889.35 × 9,216.26
  4. Step 4: Simplify right side
    32,592.26x = 450,576,960.83
  5. Step 5: Solve for x
    x = 450,576,960.83/32,592.26
  6. Step 6: Final answer
    x = 13,824.66

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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.