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Finding the Fourth Proportional to 30,867.43, 46,304.56 and 12,145

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Solution

The fourth proportional to 30,867.43, 46,304.56 and 12,145 is: 18,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.43 : 46,304.56 = 12,145 : x
  2. Step 2: Convert to fraction form
    30,867.43/46,304.56 = 12,145/x
  3. Step 3: Cross multiply
    30,867.43x = 46,304.56 × 12,145
  4. Step 4: Simplify right side
    30,867.43x = 562,368,881.20
  5. Step 5: Solve for x
    x = 562,368,881.20/30,867.43
  6. Step 6: Final answer
    x = 18,218.84

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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.