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Finding the Fourth Proportional to 32,395.78, 48,596.46 and 9,022.22

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Solution

The fourth proportional to 32,395.78, 48,596.46 and 9,022.22 is: 13,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,395.78 : 48,596.46 = 9,022.22 : x
  2. Step 2: Convert to fraction form
    32,395.78/48,596.46 = 9,022.22/x
  3. Step 3: Cross multiply
    32,395.78x = 48,596.46 × 9,022.22
  4. Step 4: Simplify right side
    32,395.78x = 438,447,858.76
  5. Step 5: Solve for x
    x = 438,447,858.76/32,395.78
  6. Step 6: Final answer
    x = 13,534.10

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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.