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Finding the Fourth Proportional to 82,918.40, 114,337.05 and 56,014.22

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Solution

The fourth proportional to 82,918.40, 114,337.05 and 56,014.22 is: 77,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,918.40 : 114,337.05 = 56,014.22 : x
  2. Step 2: Convert to fraction form
    82,918.40/114,337.05 = 56,014.22/x
  3. Step 3: Cross multiply
    82,918.40x = 114,337.05 × 56,014.22
  4. Step 4: Simplify right side
    82,918.40x = 6,404,500,672.85
  5. Step 5: Solve for x
    x = 6,404,500,672.85/82,918.40
  6. Step 6: Final answer
    x = 77,238.59

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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.