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Finding the Fourth Proportional to 65,216, 89,998.44 and 35,408

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Solution

The fourth proportional to 65,216, 89,998.44 and 35,408 is: 48,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216 : 89,998.44 = 35,408 : x
  2. Step 2: Convert to fraction form
    65,216/89,998.44 = 35,408/x
  3. Step 3: Cross multiply
    65,216x = 89,998.44 × 35,408
  4. Step 4: Simplify right side
    65,216x = 3,186,664,763.52
  5. Step 5: Solve for x
    x = 3,186,664,763.52/65,216
  6. Step 6: Final answer
    x = 48,863.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.