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Finding the Fourth Proportional to 38,967.57, 53,782.26 and 21,977.01

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Solution

The fourth proportional to 38,967.57, 53,782.26 and 21,977.01 is: 30,332.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967.57 : 53,782.26 = 21,977.01 : x
  2. Step 2: Convert to fraction form
    38,967.57/53,782.26 = 21,977.01/x
  3. Step 3: Cross multiply
    38,967.57x = 53,782.26 × 21,977.01
  4. Step 4: Simplify right side
    38,967.57x = 1,181,973,265.84
  5. Step 5: Solve for x
    x = 1,181,973,265.84/38,967.57
  6. Step 6: Final answer
    x = 30,332.23

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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.