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Finding the Fourth Proportional to 101,956.72, 152,935.08 and 31,841.50

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Solution

The fourth proportional to 101,956.72, 152,935.08 and 31,841.50 is: 47,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,956.72 : 152,935.08 = 31,841.50 : x
  2. Step 2: Convert to fraction form
    101,956.72/152,935.08 = 31,841.50/x
  3. Step 3: Cross multiply
    101,956.72x = 152,935.08 × 31,841.50
  4. Step 4: Simplify right side
    101,956.72x = 4,869,682,349.82
  5. Step 5: Solve for x
    x = 4,869,682,349.82/101,956.72
  6. Step 6: Final answer
    x = 47,762.25

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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.