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Finding the Fourth Proportional to 64,032, 88,224.24 and 47,832

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Solution

The fourth proportional to 64,032, 88,224.24 and 47,832 is: 65,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,032 : 88,224.24 = 47,832 : x
  2. Step 2: Convert to fraction form
    64,032/88,224.24 = 47,832/x
  3. Step 3: Cross multiply
    64,032x = 88,224.24 × 47,832
  4. Step 4: Simplify right side
    64,032x = 4,219,941,847.68
  5. Step 5: Solve for x
    x = 4,219,941,847.68/64,032
  6. Step 6: Final answer
    x = 65,903.64

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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.