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Finding the Fourth Proportional to 32,170.94, 44,394.82 and 17,830.16

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Solution

The fourth proportional to 32,170.94, 44,394.82 and 17,830.16 is: 24,605.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.94 : 44,394.82 = 17,830.16 : x
  2. Step 2: Convert to fraction form
    32,170.94/44,394.82 = 17,830.16/x
  3. Step 3: Cross multiply
    32,170.94x = 44,394.82 × 17,830.16
  4. Step 4: Simplify right side
    32,170.94x = 791,566,477.22
  5. Step 5: Solve for x
    x = 791,566,477.22/32,170.94
  6. Step 6: Final answer
    x = 24,605.02

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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.