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Finding the Fourth Proportional to 46,709.16, 64,458.64 and 27,846.28

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Solution

The fourth proportional to 46,709.16, 64,458.64 and 27,846.28 is: 38,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,709.16 : 64,458.64 = 27,846.28 : x
  2. Step 2: Convert to fraction form
    46,709.16/64,458.64 = 27,846.28/x
  3. Step 3: Cross multiply
    46,709.16x = 64,458.64 × 27,846.28
  4. Step 4: Simplify right side
    46,709.16x = 1,794,933,296.61
  5. Step 5: Solve for x
    x = 1,794,933,296.61/46,709.16
  6. Step 6: Final answer
    x = 38,427.87

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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.