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Finding the Fourth Proportional to 99,619.32, 149,464.50 and 49,695

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Solution

The fourth proportional to 99,619.32, 149,464.50 and 49,695 is: 74,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,619.32 : 149,464.50 = 49,695 : x
  2. Step 2: Convert to fraction form
    99,619.32/149,464.50 = 49,695/x
  3. Step 3: Cross multiply
    99,619.32x = 149,464.50 × 49,695
  4. Step 4: Simplify right side
    99,619.32x = 7,427,638,327.50
  5. Step 5: Solve for x
    x = 7,427,638,327.50/99,619.32
  6. Step 6: Final answer
    x = 74,560.22

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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.