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Finding the Fourth Proportional to 98,576.88, 147,850.74 and 32,019.18

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Solution

The fourth proportional to 98,576.88, 147,850.74 and 32,019.18 is: 48,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576.88 : 147,850.74 = 32,019.18 : x
  2. Step 2: Convert to fraction form
    98,576.88/147,850.74 = 32,019.18/x
  3. Step 3: Cross multiply
    98,576.88x = 147,850.74 × 32,019.18
  4. Step 4: Simplify right side
    98,576.88x = 4,734,059,457.19
  5. Step 5: Solve for x
    x = 4,734,059,457.19/98,576.88
  6. Step 6: Final answer
    x = 48,024.03

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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.