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Finding the Fourth Proportional to 51,720.57, 71,378.01 and 31,588.29

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Solution

The fourth proportional to 51,720.57, 71,378.01 and 31,588.29 is: 43,594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,720.57 : 71,378.01 = 31,588.29 : x
  2. Step 2: Convert to fraction form
    51,720.57/71,378.01 = 31,588.29/x
  3. Step 3: Cross multiply
    51,720.57x = 71,378.01 × 31,588.29
  4. Step 4: Simplify right side
    51,720.57x = 2,254,709,279.50
  5. Step 5: Solve for x
    x = 2,254,709,279.50/51,720.57
  6. Step 6: Final answer
    x = 43,594.05

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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.