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Finding the Fourth Proportional to 46,396.56, 64,038.24 and 27,544.56

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Solution

The fourth proportional to 46,396.56, 64,038.24 and 27,544.56 is: 38,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,396.56 : 64,038.24 = 27,544.56 : x
  2. Step 2: Convert to fraction form
    46,396.56/64,038.24 = 27,544.56/x
  3. Step 3: Cross multiply
    46,396.56x = 64,038.24 × 27,544.56
  4. Step 4: Simplify right side
    46,396.56x = 1,763,905,143.97
  5. Step 5: Solve for x
    x = 1,763,905,143.97/46,396.56
  6. Step 6: Final answer
    x = 38,018.02

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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.