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Finding the Fourth Proportional to 100,529.92, 138,742.38 and 57,513.40

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Solution

The fourth proportional to 100,529.92, 138,742.38 and 57,513.40 is: 79,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,529.92 : 138,742.38 = 57,513.40 : x
  2. Step 2: Convert to fraction form
    100,529.92/138,742.38 = 57,513.40/x
  3. Step 3: Cross multiply
    100,529.92x = 138,742.38 × 57,513.40
  4. Step 4: Simplify right side
    100,529.92x = 7,979,545,997.89
  5. Step 5: Solve for x
    x = 7,979,545,997.89/100,529.92
  6. Step 6: Final answer
    x = 79,374.84

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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.