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Finding the Fourth Proportional to 30,084.88, 45,131.64 and 9,310

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Solution

The fourth proportional to 30,084.88, 45,131.64 and 9,310 is: 13,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.88 : 45,131.64 = 9,310 : x
  2. Step 2: Convert to fraction form
    30,084.88/45,131.64 = 9,310/x
  3. Step 3: Cross multiply
    30,084.88x = 45,131.64 × 9,310
  4. Step 4: Simplify right side
    30,084.88x = 420,175,568.40
  5. Step 5: Solve for x
    x = 420,175,568.40/30,084.88
  6. Step 6: Final answer
    x = 13,966.34

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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.