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Finding the Fourth Proportional to 76,083.63, 114,103.12 and 28,664.50

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Solution

The fourth proportional to 76,083.63, 114,103.12 and 28,664.50 is: 42,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,083.63 : 114,103.12 = 28,664.50 : x
  2. Step 2: Convert to fraction form
    76,083.63/114,103.12 = 28,664.50/x
  3. Step 3: Cross multiply
    76,083.63x = 114,103.12 × 28,664.50
  4. Step 4: Simplify right side
    76,083.63x = 3,270,708,883.24
  5. Step 5: Solve for x
    x = 3,270,708,883.24/76,083.63
  6. Step 6: Final answer
    x = 42,988.34

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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.