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Finding the Fourth Proportional to 101,795.34, 152,693.01 and 31,660.68

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Solution

The fourth proportional to 101,795.34, 152,693.01 and 31,660.68 is: 47,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,795.34 : 152,693.01 = 31,660.68 : x
  2. Step 2: Convert to fraction form
    101,795.34/152,693.01 = 31,660.68/x
  3. Step 3: Cross multiply
    101,795.34x = 152,693.01 × 31,660.68
  4. Step 4: Simplify right side
    101,795.34x = 4,834,364,527.85
  5. Step 5: Solve for x
    x = 4,834,364,527.85/101,795.34
  6. Step 6: Final answer
    x = 47,491.02

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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.