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Finding the Fourth Proportional to 30,880.32, 46,320.48 and 12,408

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Solution

The fourth proportional to 30,880.32, 46,320.48 and 12,408 is: 18,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.32 : 46,320.48 = 12,408 : x
  2. Step 2: Convert to fraction form
    30,880.32/46,320.48 = 12,408/x
  3. Step 3: Cross multiply
    30,880.32x = 46,320.48 × 12,408
  4. Step 4: Simplify right side
    30,880.32x = 574,744,515.84
  5. Step 5: Solve for x
    x = 574,744,515.84/30,880.32
  6. Step 6: Final answer
    x = 18,612

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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.