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Finding the Fourth Proportional to 76,098.58, 105,019.80 and 43,838.02

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Solution

The fourth proportional to 76,098.58, 105,019.80 and 43,838.02 is: 60,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,098.58 : 105,019.80 = 43,838.02 : x
  2. Step 2: Convert to fraction form
    76,098.58/105,019.80 = 43,838.02/x
  3. Step 3: Cross multiply
    76,098.58x = 105,019.80 × 43,838.02
  4. Step 4: Simplify right side
    76,098.58x = 4,603,860,092.80
  5. Step 5: Solve for x
    x = 4,603,860,092.80/76,098.58
  6. Step 6: Final answer
    x = 60,498.63

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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.