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Finding the Fourth Proportional to 77,058.44, 115,554.84 and 30,278.50

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Solution

The fourth proportional to 77,058.44, 115,554.84 and 30,278.50 is: 45,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,058.44 : 115,554.84 = 30,278.50 : x
  2. Step 2: Convert to fraction form
    77,058.44/115,554.84 = 30,278.50/x
  3. Step 3: Cross multiply
    77,058.44x = 115,554.84 × 30,278.50
  4. Step 4: Simplify right side
    77,058.44x = 3,498,827,222.94
  5. Step 5: Solve for x
    x = 3,498,827,222.94/77,058.44
  6. Step 6: Final answer
    x = 45,404.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.