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Finding the Fourth Proportional to 32,351.80, 44,646.47 and 17,618.64

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Solution

The fourth proportional to 32,351.80, 44,646.47 and 17,618.64 is: 24,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351.80 : 44,646.47 = 17,618.64 : x
  2. Step 2: Convert to fraction form
    32,351.80/44,646.47 = 17,618.64/x
  3. Step 3: Cross multiply
    32,351.80x = 44,646.47 × 17,618.64
  4. Step 4: Simplify right side
    32,351.80x = 786,610,018.32
  5. Step 5: Solve for x
    x = 786,610,018.32/32,351.80
  6. Step 6: Final answer
    x = 24,314.26

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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.