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Finding the Fourth Proportional to 76,474.16, 114,526.66 and 45,991.64

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Solution

The fourth proportional to 76,474.16, 114,526.66 and 45,991.64 is: 68,876.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,474.16 : 114,526.66 = 45,991.64 : x
  2. Step 2: Convert to fraction form
    76,474.16/114,526.66 = 45,991.64/x
  3. Step 3: Cross multiply
    76,474.16x = 114,526.66 × 45,991.64
  4. Step 4: Simplify right side
    76,474.16x = 5,267,268,917.12
  5. Step 5: Solve for x
    x = 5,267,268,917.12/76,474.16
  6. Step 6: Final answer
    x = 68,876.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.