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Finding the Fourth Proportional to 38,412, 53,008.56 and 20,748

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Solution

The fourth proportional to 38,412, 53,008.56 and 20,748 is: 28,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,412 : 53,008.56 = 20,748 : x
  2. Step 2: Convert to fraction form
    38,412/53,008.56 = 20,748/x
  3. Step 3: Cross multiply
    38,412x = 53,008.56 × 20,748
  4. Step 4: Simplify right side
    38,412x = 1,099,821,602.88
  5. Step 5: Solve for x
    x = 1,099,821,602.88/38,412
  6. Step 6: Final answer
    x = 28,632.24

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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.