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Finding the Fourth Proportional to 53,486.51, 73,812.51 and 29,288.49

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Solution

The fourth proportional to 53,486.51, 73,812.51 and 29,288.49 is: 40,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,486.51 : 73,812.51 = 29,288.49 : x
  2. Step 2: Convert to fraction form
    53,486.51/73,812.51 = 29,288.49/x
  3. Step 3: Cross multiply
    53,486.51x = 73,812.51 × 29,288.49
  4. Step 4: Simplify right side
    53,486.51x = 2,161,857,099.41
  5. Step 5: Solve for x
    x = 2,161,857,099.41/53,486.51
  6. Step 6: Final answer
    x = 40,418.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.