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Finding the Fourth Proportional to 77,582.64, 116,408.52 and 40,638

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Solution

The fourth proportional to 77,582.64, 116,408.52 and 40,638 is: 60,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,582.64 : 116,408.52 = 40,638 : x
  2. Step 2: Convert to fraction form
    77,582.64/116,408.52 = 40,638/x
  3. Step 3: Cross multiply
    77,582.64x = 116,408.52 × 40,638
  4. Step 4: Simplify right side
    77,582.64x = 4,730,609,435.76
  5. Step 5: Solve for x
    x = 4,730,609,435.76/77,582.64
  6. Step 6: Final answer
    x = 60,975.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.