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Finding the Fourth Proportional to 76,500, 105,579.90 and 42,966

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Solution

The fourth proportional to 76,500, 105,579.90 and 42,966 is: 59,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,500 : 105,579.90 = 42,966 : x
  2. Step 2: Convert to fraction form
    76,500/105,579.90 = 42,966/x
  3. Step 3: Cross multiply
    76,500x = 105,579.90 × 42,966
  4. Step 4: Simplify right side
    76,500x = 4,536,345,983.40
  5. Step 5: Solve for x
    x = 4,536,345,983.40/76,500
  6. Step 6: Final answer
    x = 59,298.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.