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Finding the Fourth Proportional to 77,719.32, 116,579.02 and 31,005

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Solution

The fourth proportional to 77,719.32, 116,579.02 and 31,005 is: 46,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,719.32 : 116,579.02 = 31,005 : x
  2. Step 2: Convert to fraction form
    77,719.32/116,579.02 = 31,005/x
  3. Step 3: Cross multiply
    77,719.32x = 116,579.02 × 31,005
  4. Step 4: Simplify right side
    77,719.32x = 3,614,532,515.10
  5. Step 5: Solve for x
    x = 3,614,532,515.10/77,719.32
  6. Step 6: Final answer
    x = 46,507.52

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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.