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Finding the Fourth Proportional to 32,218.48, 44,461.75 and 17,878.37

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Solution

The fourth proportional to 32,218.48, 44,461.75 and 17,878.37 is: 24,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,218.48 : 44,461.75 = 17,878.37 : x
  2. Step 2: Convert to fraction form
    32,218.48/44,461.75 = 17,878.37/x
  3. Step 3: Cross multiply
    32,218.48x = 44,461.75 × 17,878.37
  4. Step 4: Simplify right side
    32,218.48x = 794,903,617.35
  5. Step 5: Solve for x
    x = 794,903,617.35/32,218.48
  6. Step 6: Final answer
    x = 24,672.29

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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.