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Finding the Fourth Proportional to 32,566.50, 44,941.86 and 17,662.50

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Solution

The fourth proportional to 32,566.50, 44,941.86 and 17,662.50 is: 24,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,566.50 : 44,941.86 = 17,662.50 : x
  2. Step 2: Convert to fraction form
    32,566.50/44,941.86 = 17,662.50/x
  3. Step 3: Cross multiply
    32,566.50x = 44,941.86 × 17,662.50
  4. Step 4: Simplify right side
    32,566.50x = 793,785,602.25
  5. Step 5: Solve for x
    x = 793,785,602.25/32,566.50
  6. Step 6: Final answer
    x = 24,374.30

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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.