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Finding the Fourth Proportional to 31,483.94, 47,220.43 and 11,762.66

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Solution

The fourth proportional to 31,483.94, 47,220.43 and 11,762.66 is: 17,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.94 : 47,220.43 = 11,762.66 : x
  2. Step 2: Convert to fraction form
    31,483.94/47,220.43 = 11,762.66/x
  3. Step 3: Cross multiply
    31,483.94x = 47,220.43 × 11,762.66
  4. Step 4: Simplify right side
    31,483.94x = 555,437,863.14
  5. Step 5: Solve for x
    x = 555,437,863.14/31,483.94
  6. Step 6: Final answer
    x = 17,641.94

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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.