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Finding the Fourth Proportional to 38,970, 53,783.87 and 21,977.73

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Solution

The fourth proportional to 38,970, 53,783.87 and 21,977.73 is: 30,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970 : 53,783.87 = 21,977.73 : x
  2. Step 2: Convert to fraction form
    38,970/53,783.87 = 21,977.73/x
  3. Step 3: Cross multiply
    38,970x = 53,783.87 × 21,977.73
  4. Step 4: Simplify right side
    38,970x = 1,182,047,263.33
  5. Step 5: Solve for x
    x = 1,182,047,263.33/38,970
  6. Step 6: Final answer
    x = 30,332.24

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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.