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Finding the Fourth Proportional to 53,055.34, 73,214.90 and 29,182.06

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Solution

The fourth proportional to 53,055.34, 73,214.90 and 29,182.06 is: 40,270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,055.34 : 73,214.90 = 29,182.06 : x
  2. Step 2: Convert to fraction form
    53,055.34/73,214.90 = 29,182.06/x
  3. Step 3: Cross multiply
    53,055.34x = 73,214.90 × 29,182.06
  4. Step 4: Simplify right side
    53,055.34x = 2,136,561,604.69
  5. Step 5: Solve for x
    x = 2,136,561,604.69/53,055.34
  6. Step 6: Final answer
    x = 40,270.43

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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.