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Finding the Fourth Proportional to 89,643.32, 134,381.44 and 30,438.49

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Solution

The fourth proportional to 89,643.32, 134,381.44 and 30,438.49 is: 45,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,643.32 : 134,381.44 = 30,438.49 : x
  2. Step 2: Convert to fraction form
    89,643.32/134,381.44 = 30,438.49/x
  3. Step 3: Cross multiply
    89,643.32x = 134,381.44 × 30,438.49
  4. Step 4: Simplify right side
    89,643.32x = 4,090,368,117.63
  5. Step 5: Solve for x
    x = 4,090,368,117.63/89,643.32
  6. Step 6: Final answer
    x = 45,629.37

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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.