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Finding the Fourth Proportional to 38,842.95, 53,546.22 and 27,477.45

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Solution

The fourth proportional to 38,842.95, 53,546.22 and 27,477.45 is: 37,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,842.95 : 53,546.22 = 27,477.45 : x
  2. Step 2: Convert to fraction form
    38,842.95/53,546.22 = 27,477.45/x
  3. Step 3: Cross multiply
    38,842.95x = 53,546.22 × 27,477.45
  4. Step 4: Simplify right side
    38,842.95x = 1,471,313,582.74
  5. Step 5: Solve for x
    x = 1,471,313,582.74/38,842.95
  6. Step 6: Final answer
    x = 37,878.52

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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.