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Finding the Fourth Proportional to 38,768.96, 53,497.16 and 21,775.05

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Solution

The fourth proportional to 38,768.96, 53,497.16 and 21,775.05 is: 30,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,768.96 : 53,497.16 = 21,775.05 : x
  2. Step 2: Convert to fraction form
    38,768.96/53,497.16 = 21,775.05/x
  3. Step 3: Cross multiply
    38,768.96x = 53,497.16 × 21,775.05
  4. Step 4: Simplify right side
    38,768.96x = 1,164,903,224.98
  5. Step 5: Solve for x
    x = 1,164,903,224.98/38,768.96
  6. Step 6: Final answer
    x = 30,047.32

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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.