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Finding the Fourth Proportional to 85,329.32, 127,993.44 and 45,905

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Solution

The fourth proportional to 85,329.32, 127,993.44 and 45,905 is: 68,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329.32 : 127,993.44 = 45,905 : x
  2. Step 2: Convert to fraction form
    85,329.32/127,993.44 = 45,905/x
  3. Step 3: Cross multiply
    85,329.32x = 127,993.44 × 45,905
  4. Step 4: Simplify right side
    85,329.32x = 5,875,538,863.20
  5. Step 5: Solve for x
    x = 5,875,538,863.20/85,329.32
  6. Step 6: Final answer
    x = 68,857.21

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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.