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Finding the Fourth Proportional to 29,738.49, 41,039.53 and 16,308.86

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Solution

The fourth proportional to 29,738.49, 41,039.53 and 16,308.86 is: 22,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.49 : 41,039.53 = 16,308.86 : x
  2. Step 2: Convert to fraction form
    29,738.49/41,039.53 = 16,308.86/x
  3. Step 3: Cross multiply
    29,738.49x = 41,039.53 × 16,308.86
  4. Step 4: Simplify right side
    29,738.49x = 669,307,934.11
  5. Step 5: Solve for x
    x = 669,307,934.11/29,738.49
  6. Step 6: Final answer
    x = 22,506.45

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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.