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Finding the Fourth Proportional to 30,964.32, 46,442.16 and 12,492

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Solution

The fourth proportional to 30,964.32, 46,442.16 and 12,492 is: 18,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964.32 : 46,442.16 = 12,492 : x
  2. Step 2: Convert to fraction form
    30,964.32/46,442.16 = 12,492/x
  3. Step 3: Cross multiply
    30,964.32x = 46,442.16 × 12,492
  4. Step 4: Simplify right side
    30,964.32x = 580,155,462.72
  5. Step 5: Solve for x
    x = 580,155,462.72/30,964.32
  6. Step 6: Final answer
    x = 18,736.26

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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.