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Finding the Fourth Proportional to 30,416.84, 45,639.70 and 21,071.24

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Solution

The fourth proportional to 30,416.84, 45,639.70 and 21,071.24 is: 31,616.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.84 : 45,639.70 = 21,071.24 : x
  2. Step 2: Convert to fraction form
    30,416.84/45,639.70 = 21,071.24/x
  3. Step 3: Cross multiply
    30,416.84x = 45,639.70 × 21,071.24
  4. Step 4: Simplify right side
    30,416.84x = 961,685,072.23
  5. Step 5: Solve for x
    x = 961,685,072.23/30,416.84
  6. Step 6: Final answer
    x = 31,616.86

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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.