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Finding the Fourth Proportional to 48,401, 72,533.40 and 38,496.32

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Solution

The fourth proportional to 48,401, 72,533.40 and 38,496.32 is: 57,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,401 : 72,533.40 = 38,496.32 : x
  2. Step 2: Convert to fraction form
    48,401/72,533.40 = 38,496.32/x
  3. Step 3: Cross multiply
    48,401x = 72,533.40 × 38,496.32
  4. Step 4: Simplify right side
    48,401x = 2,792,268,977.09
  5. Step 5: Solve for x
    x = 2,792,268,977.09/48,401
  6. Step 6: Final answer
    x = 57,690.32

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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.