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Finding the Fourth Proportional to 43,490.82, 65,258.13 and 32,419.74

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Solution

The fourth proportional to 43,490.82, 65,258.13 and 32,419.74 is: 48,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,490.82 : 65,258.13 = 32,419.74 : x
  2. Step 2: Convert to fraction form
    43,490.82/65,258.13 = 32,419.74/x
  3. Step 3: Cross multiply
    43,490.82x = 65,258.13 × 32,419.74
  4. Step 4: Simplify right side
    43,490.82x = 2,115,651,607.49
  5. Step 5: Solve for x
    x = 2,115,651,607.49/43,490.82
  6. Step 6: Final answer
    x = 48,645.94

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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.