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Finding the Fourth Proportional to 31,570.33, 47,361.93 and 12,850.21

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Solution

The fourth proportional to 31,570.33, 47,361.93 and 12,850.21 is: 19,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.33 : 47,361.93 = 12,850.21 : x
  2. Step 2: Convert to fraction form
    31,570.33/47,361.93 = 12,850.21/x
  3. Step 3: Cross multiply
    31,570.33x = 47,361.93 × 12,850.21
  4. Step 4: Simplify right side
    31,570.33x = 608,610,746.51
  5. Step 5: Solve for x
    x = 608,610,746.51/31,570.33
  6. Step 6: Final answer
    x = 19,277.93

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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.