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Finding the Fourth Proportional to 46,728.54, 64,484.92 and 28,816.38

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Solution

The fourth proportional to 46,728.54, 64,484.92 and 28,816.38 is: 39,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,728.54 : 64,484.92 = 28,816.38 : x
  2. Step 2: Convert to fraction form
    46,728.54/64,484.92 = 28,816.38/x
  3. Step 3: Cross multiply
    46,728.54x = 64,484.92 × 28,816.38
  4. Step 4: Simplify right side
    46,728.54x = 1,858,221,958.99
  5. Step 5: Solve for x
    x = 1,858,221,958.99/46,728.54
  6. Step 6: Final answer
    x = 39,766.32

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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.