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Finding the Fourth Proportional to 53,053.47, 73,204.02 and 31,550.40

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Solution

The fourth proportional to 53,053.47, 73,204.02 and 31,550.40 is: 43,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,053.47 : 73,204.02 = 31,550.40 : x
  2. Step 2: Convert to fraction form
    53,053.47/73,204.02 = 31,550.40/x
  3. Step 3: Cross multiply
    53,053.47x = 73,204.02 × 31,550.40
  4. Step 4: Simplify right side
    53,053.47x = 2,309,616,112.61
  5. Step 5: Solve for x
    x = 2,309,616,112.61/53,053.47
  6. Step 6: Final answer
    x = 43,533.74

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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.