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Finding the Fourth Proportional to 46,816.94, 64,602.39 and 27,697.43

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Solution

The fourth proportional to 46,816.94, 64,602.39 and 27,697.43 is: 38,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,816.94 : 64,602.39 = 27,697.43 : x
  2. Step 2: Convert to fraction form
    46,816.94/64,602.39 = 27,697.43/x
  3. Step 3: Cross multiply
    46,816.94x = 64,602.39 × 27,697.43
  4. Step 4: Simplify right side
    46,816.94x = 1,789,320,174.86
  5. Step 5: Solve for x
    x = 1,789,320,174.86/46,816.94
  6. Step 6: Final answer
    x = 38,219.50

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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.