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Finding the Fourth Proportional to 56,687.10, 78,228.90 and 31,196.40

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Solution

The fourth proportional to 56,687.10, 78,228.90 and 31,196.40 is: 43,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,687.10 : 78,228.90 = 31,196.40 : x
  2. Step 2: Convert to fraction form
    56,687.10/78,228.90 = 31,196.40/x
  3. Step 3: Cross multiply
    56,687.10x = 78,228.90 × 31,196.40
  4. Step 4: Simplify right side
    56,687.10x = 2,440,460,055.96
  5. Step 5: Solve for x
    x = 2,440,460,055.96/56,687.10
  6. Step 6: Final answer
    x = 43,051.42

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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.