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Finding the Fourth Proportional to 38,825.64, 53,577.81 and 21,829.41

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Solution

The fourth proportional to 38,825.64, 53,577.81 and 21,829.41 is: 30,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,825.64 : 53,577.81 = 21,829.41 : x
  2. Step 2: Convert to fraction form
    38,825.64/53,577.81 = 21,829.41/x
  3. Step 3: Cross multiply
    38,825.64x = 53,577.81 × 21,829.41
  4. Step 4: Simplify right side
    38,825.64x = 1,169,571,981.39
  5. Step 5: Solve for x
    x = 1,169,571,981.39/38,825.64
  6. Step 6: Final answer
    x = 30,123.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.