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Finding the Fourth Proportional to 75,848.98, 113,763.48 and 22,539.82

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Solution

The fourth proportional to 75,848.98, 113,763.48 and 22,539.82 is: 33,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,848.98 : 113,763.48 = 22,539.82 : x
  2. Step 2: Convert to fraction form
    75,848.98/113,763.48 = 22,539.82/x
  3. Step 3: Cross multiply
    75,848.98x = 113,763.48 × 22,539.82
  4. Step 4: Simplify right side
    75,848.98x = 2,564,208,361.77
  5. Step 5: Solve for x
    x = 2,564,208,361.77/75,848.98
  6. Step 6: Final answer
    x = 33,806.76

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Why These Related Problems?

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