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Finding the Fourth Proportional to 76,460.22, 114,579.18 and 33,713.64

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Solution

The fourth proportional to 76,460.22, 114,579.18 and 33,713.64 is: 50,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,460.22 : 114,579.18 = 33,713.64 : x
  2. Step 2: Convert to fraction form
    76,460.22/114,579.18 = 33,713.64/x
  3. Step 3: Cross multiply
    76,460.22x = 114,579.18 × 33,713.64
  4. Step 4: Simplify right side
    76,460.22x = 3,862,881,226.02
  5. Step 5: Solve for x
    x = 3,862,881,226.02/76,460.22
  6. Step 6: Final answer
    x = 50,521.45

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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.