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Finding the Fourth Proportional to 31,266.48, 46,894.78 and 10,206.41

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Solution

The fourth proportional to 31,266.48, 46,894.78 and 10,206.41 is: 15,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,266.48 : 46,894.78 = 10,206.41 : x
  2. Step 2: Convert to fraction form
    31,266.48/46,894.78 = 10,206.41/x
  3. Step 3: Cross multiply
    31,266.48x = 46,894.78 × 10,206.41
  4. Step 4: Simplify right side
    31,266.48x = 478,627,351.54
  5. Step 5: Solve for x
    x = 478,627,351.54/31,266.48
  6. Step 6: Final answer
    x = 15,308.00

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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.