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Finding the Fourth Proportional to 101,953.72, 152,930.58 and 31,838.50

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Solution

The fourth proportional to 101,953.72, 152,930.58 and 31,838.50 is: 47,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,953.72 : 152,930.58 = 31,838.50 : x
  2. Step 2: Convert to fraction form
    101,953.72/152,930.58 = 31,838.50/x
  3. Step 3: Cross multiply
    101,953.72x = 152,930.58 × 31,838.50
  4. Step 4: Simplify right side
    101,953.72x = 4,869,080,271.33
  5. Step 5: Solve for x
    x = 4,869,080,271.33/101,953.72
  6. Step 6: Final answer
    x = 47,757.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.