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Finding the Fourth Proportional to 46,961.44, 64,836.48 and 32,848

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Solution

The fourth proportional to 46,961.44, 64,836.48 and 32,848 is: 45,351.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,961.44 : 64,836.48 = 32,848 : x
  2. Step 2: Convert to fraction form
    46,961.44/64,836.48 = 32,848/x
  3. Step 3: Cross multiply
    46,961.44x = 64,836.48 × 32,848
  4. Step 4: Simplify right side
    46,961.44x = 2,129,748,695.04
  5. Step 5: Solve for x
    x = 2,129,748,695.04/46,961.44
  6. Step 6: Final answer
    x = 45,351.01

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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.