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Finding the Fourth Proportional to 38,479, 53,101.02 and 21,712

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Solution

The fourth proportional to 38,479, 53,101.02 and 21,712 is: 29,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,479 : 53,101.02 = 21,712 : x
  2. Step 2: Convert to fraction form
    38,479/53,101.02 = 21,712/x
  3. Step 3: Cross multiply
    38,479x = 53,101.02 × 21,712
  4. Step 4: Simplify right side
    38,479x = 1,152,929,346.24
  5. Step 5: Solve for x
    x = 1,152,929,346.24/38,479
  6. Step 6: Final answer
    x = 29,962.56

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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.