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Finding the Fourth Proportional to 99,415.56, 149,146.40 and 32,851.65

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Solution

The fourth proportional to 99,415.56, 149,146.40 and 32,851.65 is: 49,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,415.56 : 149,146.40 = 32,851.65 : x
  2. Step 2: Convert to fraction form
    99,415.56/149,146.40 = 32,851.65/x
  3. Step 3: Cross multiply
    99,415.56x = 149,146.40 × 32,851.65
  4. Step 4: Simplify right side
    99,415.56x = 4,899,705,413.69
  5. Step 5: Solve for x
    x = 4,899,705,413.69/99,415.56
  6. Step 6: Final answer
    x = 49,285.10

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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.