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Finding the Fourth Proportional to 57,322.14, 85,987 and 19,878.27

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Solution

The fourth proportional to 57,322.14, 85,987 and 19,878.27 is: 29,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,322.14 : 85,987 = 19,878.27 : x
  2. Step 2: Convert to fraction form
    57,322.14/85,987 = 19,878.27/x
  3. Step 3: Cross multiply
    57,322.14x = 85,987 × 19,878.27
  4. Step 4: Simplify right side
    57,322.14x = 1,709,272,802.49
  5. Step 5: Solve for x
    x = 1,709,272,802.49/57,322.14
  6. Step 6: Final answer
    x = 29,818.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.