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Finding the Fourth Proportional to 53,053.76, 73,216.32 and 31,825.28

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Solution

The fourth proportional to 53,053.76, 73,216.32 and 31,825.28 is: 43,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,053.76 : 73,216.32 = 31,825.28 : x
  2. Step 2: Convert to fraction form
    53,053.76/73,216.32 = 31,825.28/x
  3. Step 3: Cross multiply
    53,053.76x = 73,216.32 × 31,825.28
  4. Step 4: Simplify right side
    53,053.76x = 2,330,129,884.57
  5. Step 5: Solve for x
    x = 2,330,129,884.57/53,053.76
  6. Step 6: Final answer
    x = 43,920.16

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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.