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Finding the Fourth Proportional to 76,603.34, 105,678.06 and 44,757.92

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Solution

The fourth proportional to 76,603.34, 105,678.06 and 44,757.92 is: 61,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,603.34 : 105,678.06 = 44,757.92 : x
  2. Step 2: Convert to fraction form
    76,603.34/105,678.06 = 44,757.92/x
  3. Step 3: Cross multiply
    76,603.34x = 105,678.06 × 44,757.92
  4. Step 4: Simplify right side
    76,603.34x = 4,729,930,155.24
  5. Step 5: Solve for x
    x = 4,729,930,155.24/76,603.34
  6. Step 6: Final answer
    x = 61,745.74

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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.