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Finding the Fourth Proportional to 64,029.36, 88,359.84 and 35,742

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Solution

The fourth proportional to 64,029.36, 88,359.84 and 35,742 is: 49,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,029.36 : 88,359.84 = 35,742 : x
  2. Step 2: Convert to fraction form
    64,029.36/88,359.84 = 35,742/x
  3. Step 3: Cross multiply
    64,029.36x = 88,359.84 × 35,742
  4. Step 4: Simplify right side
    64,029.36x = 3,158,157,401.28
  5. Step 5: Solve for x
    x = 3,158,157,401.28/64,029.36
  6. Step 6: Final answer
    x = 49,323.58

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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.