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Finding the Fourth Proportional to 30,416.14, 41,962.71 and 22,477.42

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Solution

The fourth proportional to 30,416.14, 41,962.71 and 22,477.42 is: 31,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.14 : 41,962.71 = 22,477.42 : x
  2. Step 2: Convert to fraction form
    30,416.14/41,962.71 = 22,477.42/x
  3. Step 3: Cross multiply
    30,416.14x = 41,962.71 × 22,477.42
  4. Step 4: Simplify right side
    30,416.14x = 943,213,457.01
  5. Step 5: Solve for x
    x = 943,213,457.01/30,416.14
  6. Step 6: Final answer
    x = 31,010.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.