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Finding the Fourth Proportional to 38,927.25, 53,719.67 and 22,160.25

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Solution

The fourth proportional to 38,927.25, 53,719.67 and 22,160.25 is: 30,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,927.25 : 53,719.67 = 22,160.25 : x
  2. Step 2: Convert to fraction form
    38,927.25/53,719.67 = 22,160.25/x
  3. Step 3: Cross multiply
    38,927.25x = 53,719.67 × 22,160.25
  4. Step 4: Simplify right side
    38,927.25x = 1,190,441,206.32
  5. Step 5: Solve for x
    x = 1,190,441,206.32/38,927.25
  6. Step 6: Final answer
    x = 30,581.18

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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.