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Finding the Fourth Proportional to 32,853.78, 49,283.30 and 13,121.51

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Solution

The fourth proportional to 32,853.78, 49,283.30 and 13,121.51 is: 19,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853.78 : 49,283.30 = 13,121.51 : x
  2. Step 2: Convert to fraction form
    32,853.78/49,283.30 = 13,121.51/x
  3. Step 3: Cross multiply
    32,853.78x = 49,283.30 × 13,121.51
  4. Step 4: Simplify right side
    32,853.78x = 646,671,100.17
  5. Step 5: Solve for x
    x = 646,671,100.17/32,853.78
  6. Step 6: Final answer
    x = 19,683.31

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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.