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Finding the Fourth Proportional to 32,877.96, 45,370.74 and 17,973

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Solution

The fourth proportional to 32,877.96, 45,370.74 and 17,973 is: 24,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877.96 : 45,370.74 = 17,973 : x
  2. Step 2: Convert to fraction form
    32,877.96/45,370.74 = 17,973/x
  3. Step 3: Cross multiply
    32,877.96x = 45,370.74 × 17,973
  4. Step 4: Simplify right side
    32,877.96x = 815,448,310.02
  5. Step 5: Solve for x
    x = 815,448,310.02/32,877.96
  6. Step 6: Final answer
    x = 24,802.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.