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Finding the Fourth Proportional to 38,810.46, 53,558.28 and 21,815.16

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Solution

The fourth proportional to 38,810.46, 53,558.28 and 21,815.16 is: 30,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,810.46 : 53,558.28 = 21,815.16 : x
  2. Step 2: Convert to fraction form
    38,810.46/53,558.28 = 21,815.16/x
  3. Step 3: Cross multiply
    38,810.46x = 53,558.28 × 21,815.16
  4. Step 4: Simplify right side
    38,810.46x = 1,168,382,447.52
  5. Step 5: Solve for x
    x = 1,168,382,447.52/38,810.46
  6. Step 6: Final answer
    x = 30,104.83

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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.