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Finding the Fourth Proportional to 101,583.62, 152,415.54 and 31,468.40

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Solution

The fourth proportional to 101,583.62, 152,415.54 and 31,468.40 is: 47,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,583.62 : 152,415.54 = 31,468.40 : x
  2. Step 2: Convert to fraction form
    101,583.62/152,415.54 = 31,468.40/x
  3. Step 3: Cross multiply
    101,583.62x = 152,415.54 × 31,468.40
  4. Step 4: Simplify right side
    101,583.62x = 4,796,273,178.94
  5. Step 5: Solve for x
    x = 4,796,273,178.94/101,583.62
  6. Step 6: Final answer
    x = 47,215.03

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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.