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Finding the Fourth Proportional to 46,571.16, 64,267.44 and 27,447.90

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Solution

The fourth proportional to 46,571.16, 64,267.44 and 27,447.90 is: 37,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,571.16 : 64,267.44 = 27,447.90 : x
  2. Step 2: Convert to fraction form
    46,571.16/64,267.44 = 27,447.90/x
  3. Step 3: Cross multiply
    46,571.16x = 64,267.44 × 27,447.90
  4. Step 4: Simplify right side
    46,571.16x = 1,764,006,266.38
  5. Step 5: Solve for x
    x = 1,764,006,266.38/46,571.16
  6. Step 6: Final answer
    x = 37,877.65

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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.