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Finding the Fourth Proportional to 53,047, 73,204.86 and 29,175.22

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Solution

The fourth proportional to 53,047, 73,204.86 and 29,175.22 is: 40,261.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,047 : 73,204.86 = 29,175.22 : x
  2. Step 2: Convert to fraction form
    53,047/73,204.86 = 29,175.22/x
  3. Step 3: Cross multiply
    53,047x = 73,204.86 × 29,175.22
  4. Step 4: Simplify right side
    53,047x = 2,135,767,895.57
  5. Step 5: Solve for x
    x = 2,135,767,895.57/53,047
  6. Step 6: Final answer
    x = 40,261.80

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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.