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Finding the Fourth Proportional to 56,717.48, 78,269.22 and 31,567.40

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Solution

The fourth proportional to 56,717.48, 78,269.22 and 31,567.40 is: 43,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,717.48 : 78,269.22 = 31,567.40 : x
  2. Step 2: Convert to fraction form
    56,717.48/78,269.22 = 31,567.40/x
  3. Step 3: Cross multiply
    56,717.48x = 78,269.22 × 31,567.40
  4. Step 4: Simplify right side
    56,717.48x = 2,470,755,775.43
  5. Step 5: Solve for x
    x = 2,470,755,775.43/56,717.48
  6. Step 6: Final answer
    x = 43,562.51

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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.