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Finding the Fourth Proportional to 30,982.47, 46,477.07 and 9,917.54

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Solution

The fourth proportional to 30,982.47, 46,477.07 and 9,917.54 is: 14,877.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,982.47 : 46,477.07 = 9,917.54 : x
  2. Step 2: Convert to fraction form
    30,982.47/46,477.07 = 9,917.54/x
  3. Step 3: Cross multiply
    30,982.47x = 46,477.07 × 9,917.54
  4. Step 4: Simplify right side
    30,982.47x = 460,937,918.83
  5. Step 5: Solve for x
    x = 460,937,918.83/30,982.47
  6. Step 6: Final answer
    x = 14,877.38

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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.