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Finding the Fourth Proportional to 32,214.25, 44,460.53 and 19,646.29

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Solution

The fourth proportional to 32,214.25, 44,460.53 and 19,646.29 is: 27,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,214.25 : 44,460.53 = 19,646.29 : x
  2. Step 2: Convert to fraction form
    32,214.25/44,460.53 = 19,646.29/x
  3. Step 3: Cross multiply
    32,214.25x = 44,460.53 × 19,646.29
  4. Step 4: Simplify right side
    32,214.25x = 873,484,465.93
  5. Step 5: Solve for x
    x = 873,484,465.93/32,214.25
  6. Step 6: Final answer
    x = 27,114.85

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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.