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Finding the Fourth Proportional to 40,147.89, 55,430.09 and 25,814.16

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Solution

The fourth proportional to 40,147.89, 55,430.09 and 25,814.16 is: 35,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,147.89 : 55,430.09 = 25,814.16 : x
  2. Step 2: Convert to fraction form
    40,147.89/55,430.09 = 25,814.16/x
  3. Step 3: Cross multiply
    40,147.89x = 55,430.09 × 25,814.16
  4. Step 4: Simplify right side
    40,147.89x = 1,430,881,179.81
  5. Step 5: Solve for x
    x = 1,430,881,179.81/40,147.89
  6. Step 6: Final answer
    x = 35,640.26

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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.