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Finding the Fourth Proportional to 99,646.44, 149,444.16 and 29,509.36

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Solution

The fourth proportional to 99,646.44, 149,444.16 and 29,509.36 is: 44,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,646.44 : 149,444.16 = 29,509.36 : x
  2. Step 2: Convert to fraction form
    99,646.44/149,444.16 = 29,509.36/x
  3. Step 3: Cross multiply
    99,646.44x = 149,444.16 × 29,509.36
  4. Step 4: Simplify right side
    99,646.44x = 4,410,001,517.34
  5. Step 5: Solve for x
    x = 4,410,001,517.34/99,646.44
  6. Step 6: Final answer
    x = 44,256.49

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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.