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Finding the Fourth Proportional to 38,871.07, 53,632.56 and 21,872

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Solution

The fourth proportional to 38,871.07, 53,632.56 and 21,872 is: 30,178.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,871.07 : 53,632.56 = 21,872 : x
  2. Step 2: Convert to fraction form
    38,871.07/53,632.56 = 21,872/x
  3. Step 3: Cross multiply
    38,871.07x = 53,632.56 × 21,872
  4. Step 4: Simplify right side
    38,871.07x = 1,173,051,352.32
  5. Step 5: Solve for x
    x = 1,173,051,352.32/38,871.07
  6. Step 6: Final answer
    x = 30,178.01

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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.