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Finding the Fourth Proportional to 48,361.64, 72,498.74 and 17,189.60

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Solution

The fourth proportional to 48,361.64, 72,498.74 and 17,189.60 is: 25,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,361.64 : 72,498.74 = 17,189.60 : x
  2. Step 2: Convert to fraction form
    48,361.64/72,498.74 = 17,189.60/x
  3. Step 3: Cross multiply
    48,361.64x = 72,498.74 × 17,189.60
  4. Step 4: Simplify right side
    48,361.64x = 1,246,224,341.10
  5. Step 5: Solve for x
    x = 1,246,224,341.10/48,361.64
  6. Step 6: Final answer
    x = 25,768.86

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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.