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Finding the Fourth Proportional to 98,576.64, 147,871.44 and 35,390.16

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Solution

The fourth proportional to 98,576.64, 147,871.44 and 35,390.16 is: 53,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576.64 : 147,871.44 = 35,390.16 : x
  2. Step 2: Convert to fraction form
    98,576.64/147,871.44 = 35,390.16/x
  3. Step 3: Cross multiply
    98,576.64x = 147,871.44 × 35,390.16
  4. Step 4: Simplify right side
    98,576.64x = 5,233,193,921.03
  5. Step 5: Solve for x
    x = 5,233,193,921.03/98,576.64
  6. Step 6: Final answer
    x = 53,087.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.