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Finding the Fourth Proportional to 98,576.37, 147,906.92 and 32,036.89

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Solution

The fourth proportional to 98,576.37, 147,906.92 and 32,036.89 is: 48,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,576.37 : 147,906.92 = 32,036.89 : x
  2. Step 2: Convert to fraction form
    98,576.37/147,906.92 = 32,036.89/x
  3. Step 3: Cross multiply
    98,576.37x = 147,906.92 × 32,036.89
  4. Step 4: Simplify right side
    98,576.37x = 4,738,477,726.28
  5. Step 5: Solve for x
    x = 4,738,477,726.28/98,576.37
  6. Step 6: Final answer
    x = 48,069.10

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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.