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Finding the Fourth Proportional to 27,881.83, 38,477.02 and 15,135.03

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Solution

The fourth proportional to 27,881.83, 38,477.02 and 15,135.03 is: 20,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.83 : 38,477.02 = 15,135.03 : x
  2. Step 2: Convert to fraction form
    27,881.83/38,477.02 = 15,135.03/x
  3. Step 3: Cross multiply
    27,881.83x = 38,477.02 × 15,135.03
  4. Step 4: Simplify right side
    27,881.83x = 582,350,852.01
  5. Step 5: Solve for x
    x = 582,350,852.01/27,881.83
  6. Step 6: Final answer
    x = 20,886.39

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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.