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Finding the Fourth Proportional to 76,018.47, 114,054.85 and 33,894.77

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Solution

The fourth proportional to 76,018.47, 114,054.85 and 33,894.77 is: 50,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,018.47 : 114,054.85 = 33,894.77 : x
  2. Step 2: Convert to fraction form
    76,018.47/114,054.85 = 33,894.77/x
  3. Step 3: Cross multiply
    76,018.47x = 114,054.85 × 33,894.77
  4. Step 4: Simplify right side
    76,018.47x = 3,865,862,380.23
  5. Step 5: Solve for x
    x = 3,865,862,380.23/76,018.47
  6. Step 6: Final answer
    x = 50,854.25

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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.