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Finding the Fourth Proportional to 75,130.77, 103,682.81 and 41,142.48

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Solution

The fourth proportional to 75,130.77, 103,682.81 and 41,142.48 is: 56,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,130.77 : 103,682.81 = 41,142.48 : x
  2. Step 2: Convert to fraction form
    75,130.77/103,682.81 = 41,142.48/x
  3. Step 3: Cross multiply
    75,130.77x = 103,682.81 × 41,142.48
  4. Step 4: Simplify right side
    75,130.77x = 4,265,768,053.23
  5. Step 5: Solve for x
    x = 4,265,768,053.23/75,130.77
  6. Step 6: Final answer
    x = 56,777.91

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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.