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Finding the Fourth Proportional to 46,761.30, 64,507.48 and 27,631.82

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Solution

The fourth proportional to 46,761.30, 64,507.48 and 27,631.82 is: 38,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,761.30 : 64,507.48 = 27,631.82 : x
  2. Step 2: Convert to fraction form
    46,761.30/64,507.48 = 27,631.82/x
  3. Step 3: Cross multiply
    46,761.30x = 64,507.48 × 27,631.82
  4. Step 4: Simplify right side
    46,761.30x = 1,782,459,232.99
  5. Step 5: Solve for x
    x = 1,782,459,232.99/46,761.30
  6. Step 6: Final answer
    x = 38,118.25

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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.