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Finding the Fourth Proportional to 76,905.66, 106,125.75 and 43,369.50

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Solution

The fourth proportional to 76,905.66, 106,125.75 and 43,369.50 is: 59,847.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,905.66 : 106,125.75 = 43,369.50 : x
  2. Step 2: Convert to fraction form
    76,905.66/106,125.75 = 43,369.50/x
  3. Step 3: Cross multiply
    76,905.66x = 106,125.75 × 43,369.50
  4. Step 4: Simplify right side
    76,905.66x = 4,602,620,714.63
  5. Step 5: Solve for x
    x = 4,602,620,714.63/76,905.66
  6. Step 6: Final answer
    x = 59,847.62

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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.