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Finding the Fourth Proportional to 31,021.98, 46,532.34 and 7,648.62

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Solution

The fourth proportional to 31,021.98, 46,532.34 and 7,648.62 is: 11,472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,021.98 : 46,532.34 = 7,648.62 : x
  2. Step 2: Convert to fraction form
    31,021.98/46,532.34 = 7,648.62/x
  3. Step 3: Cross multiply
    31,021.98x = 46,532.34 × 7,648.62
  4. Step 4: Simplify right side
    31,021.98x = 355,908,186.37
  5. Step 5: Solve for x
    x = 355,908,186.37/31,021.98
  6. Step 6: Final answer
    x = 11,472.77

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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.