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Finding the Fourth Proportional to 38,582.88, 53,253.36 and 21,821.28

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Solution

The fourth proportional to 38,582.88, 53,253.36 and 21,821.28 is: 30,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,582.88 : 53,253.36 = 21,821.28 : x
  2. Step 2: Convert to fraction form
    38,582.88/53,253.36 = 21,821.28/x
  3. Step 3: Cross multiply
    38,582.88x = 53,253.36 × 21,821.28
  4. Step 4: Simplify right side
    38,582.88x = 1,162,056,479.50
  5. Step 5: Solve for x
    x = 1,162,056,479.50/38,582.88
  6. Step 6: Final answer
    x = 30,118.45

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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.