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Finding the Fourth Proportional to 31,759.36, 43,802.64 and 20,430.16

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Solution

The fourth proportional to 31,759.36, 43,802.64 and 20,430.16 is: 28,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.36 : 43,802.64 = 20,430.16 : x
  2. Step 2: Convert to fraction form
    31,759.36/43,802.64 = 20,430.16/x
  3. Step 3: Cross multiply
    31,759.36x = 43,802.64 × 20,430.16
  4. Step 4: Simplify right side
    31,759.36x = 894,894,943.62
  5. Step 5: Solve for x
    x = 894,894,943.62/31,759.36
  6. Step 6: Final answer
    x = 28,177.36

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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.