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Finding the Fourth Proportional to 56,320.50, 84,563.82 and 31,409.22

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Solution

The fourth proportional to 56,320.50, 84,563.82 and 31,409.22 is: 47,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,320.50 : 84,563.82 = 31,409.22 : x
  2. Step 2: Convert to fraction form
    56,320.50/84,563.82 = 31,409.22/x
  3. Step 3: Cross multiply
    56,320.50x = 84,563.82 × 31,409.22
  4. Step 4: Simplify right side
    56,320.50x = 2,656,083,626.42
  5. Step 5: Solve for x
    x = 2,656,083,626.42/56,320.50
  6. Step 6: Final answer
    x = 47,160.16

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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.