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Finding the Fourth Proportional to 65,342.64, 90,204.53 and 43,824.53

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Solution

The fourth proportional to 65,342.64, 90,204.53 and 43,824.53 is: 60,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,342.64 : 90,204.53 = 43,824.53 : x
  2. Step 2: Convert to fraction form
    65,342.64/90,204.53 = 43,824.53/x
  3. Step 3: Cross multiply
    65,342.64x = 90,204.53 × 43,824.53
  4. Step 4: Simplify right side
    65,342.64x = 3,953,171,137.51
  5. Step 5: Solve for x
    x = 3,953,171,137.51/65,342.64
  6. Step 6: Final answer
    x = 60,499.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.