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Finding the Fourth Proportional to 42,922, 59,251.76 and 27,029.80

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Solution

The fourth proportional to 42,922, 59,251.76 and 27,029.80 is: 37,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,922 : 59,251.76 = 27,029.80 : x
  2. Step 2: Convert to fraction form
    42,922/59,251.76 = 27,029.80/x
  3. Step 3: Cross multiply
    42,922x = 59,251.76 × 27,029.80
  4. Step 4: Simplify right side
    42,922x = 1,601,563,222.45
  5. Step 5: Solve for x
    x = 1,601,563,222.45/42,922
  6. Step 6: Final answer
    x = 37,313.34

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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.