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Finding the Fourth Proportional to 38,464.32, 53,085.12 and 21,696

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Solution

The fourth proportional to 38,464.32, 53,085.12 and 21,696 is: 29,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.32 : 53,085.12 = 21,696 : x
  2. Step 2: Convert to fraction form
    38,464.32/53,085.12 = 21,696/x
  3. Step 3: Cross multiply
    38,464.32x = 53,085.12 × 21,696
  4. Step 4: Simplify right side
    38,464.32x = 1,151,734,763.52
  5. Step 5: Solve for x
    x = 1,151,734,763.52/38,464.32
  6. Step 6: Final answer
    x = 29,942.94

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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.