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Finding the Fourth Proportional to 38,825.53, 53,579.02 and 21,829.80

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Solution

The fourth proportional to 38,825.53, 53,579.02 and 21,829.80 is: 30,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825.53 : 53,579.02 = 21,829.80 : x
  2. Step 2: Convert to fraction form
    38,825.53/53,579.02 = 21,829.80/x
  3. Step 3: Cross multiply
    38,825.53x = 53,579.02 × 21,829.80
  4. Step 4: Simplify right side
    38,825.53x = 1,169,619,478.07
  5. Step 5: Solve for x
    x = 1,169,619,478.07/38,825.53
  6. Step 6: Final answer
    x = 30,125.01

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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.