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Finding the Fourth Proportional to 53,004.72, 73,147.86 and 29,132

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Solution

The fourth proportional to 53,004.72, 73,147.86 and 29,132 is: 40,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,004.72 : 73,147.86 = 29,132 : x
  2. Step 2: Convert to fraction form
    53,004.72/73,147.86 = 29,132/x
  3. Step 3: Cross multiply
    53,004.72x = 73,147.86 × 29,132
  4. Step 4: Simplify right side
    53,004.72x = 2,130,943,457.52
  5. Step 5: Solve for x
    x = 2,130,943,457.52/53,004.72
  6. Step 6: Final answer
    x = 40,202.90

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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.