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Finding the Fourth Proportional to 38,683.17, 53,388.18 and 27,962.82

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Solution

The fourth proportional to 38,683.17, 53,388.18 and 27,962.82 is: 38,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,683.17 : 53,388.18 = 27,962.82 : x
  2. Step 2: Convert to fraction form
    38,683.17/53,388.18 = 27,962.82/x
  3. Step 3: Cross multiply
    38,683.17x = 53,388.18 × 27,962.82
  4. Step 4: Simplify right side
    38,683.17x = 1,492,884,067.47
  5. Step 5: Solve for x
    x = 1,492,884,067.47/38,683.17
  6. Step 6: Final answer
    x = 38,592.60

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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.