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Finding the Fourth Proportional to 76,103.47, 114,155.98 and 33,985.70

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Solution

The fourth proportional to 76,103.47, 114,155.98 and 33,985.70 is: 50,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,103.47 : 114,155.98 = 33,985.70 : x
  2. Step 2: Convert to fraction form
    76,103.47/114,155.98 = 33,985.70/x
  3. Step 3: Cross multiply
    76,103.47x = 114,155.98 × 33,985.70
  4. Step 4: Simplify right side
    76,103.47x = 3,879,670,148.78
  5. Step 5: Solve for x
    x = 3,879,670,148.78/76,103.47
  6. Step 6: Final answer
    x = 50,978.89

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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.