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Finding the Fourth Proportional to 38,463.36, 53,080.92 and 21,696

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Solution

The fourth proportional to 38,463.36, 53,080.92 and 21,696 is: 29,941.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463.36 : 53,080.92 = 21,696 : x
  2. Step 2: Convert to fraction form
    38,463.36/53,080.92 = 21,696/x
  3. Step 3: Cross multiply
    38,463.36x = 53,080.92 × 21,696
  4. Step 4: Simplify right side
    38,463.36x = 1,151,643,640.32
  5. Step 5: Solve for x
    x = 1,151,643,640.32/38,463.36
  6. Step 6: Final answer
    x = 29,941.32

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1.5x scale

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.