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Finding the Fourth Proportional to 53,055.74, 73,214.64 and 29,180.87

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Solution

The fourth proportional to 53,055.74, 73,214.64 and 29,180.87 is: 40,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,055.74 : 73,214.64 = 29,180.87 : x
  2. Step 2: Convert to fraction form
    53,055.74/73,214.64 = 29,180.87/x
  3. Step 3: Cross multiply
    53,055.74x = 73,214.64 × 29,180.87
  4. Step 4: Simplify right side
    53,055.74x = 2,136,466,525.86
  5. Step 5: Solve for x
    x = 2,136,466,525.86/53,055.74
  6. Step 6: Final answer
    x = 40,268.34

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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.