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Finding the Fourth Proportional to 38,825.66, 53,572.86 and 21,827.66

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Solution

The fourth proportional to 38,825.66, 53,572.86 and 21,827.66 is: 30,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825.66 : 53,572.86 = 21,827.66 : x
  2. Step 2: Convert to fraction form
    38,825.66/53,572.86 = 21,827.66/x
  3. Step 3: Cross multiply
    38,825.66x = 53,572.86 × 21,827.66
  4. Step 4: Simplify right side
    38,825.66x = 1,169,370,173.31
  5. Step 5: Solve for x
    x = 1,169,370,173.31/38,825.66
  6. Step 6: Final answer
    x = 30,118.49

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Similar ratio
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1.5x scale

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.