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Finding the Fourth Proportional to 30,047.19, 41,465.16 and 16,435.41

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Solution

The fourth proportional to 30,047.19, 41,465.16 and 16,435.41 is: 22,680.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.19 : 41,465.16 = 16,435.41 : x
  2. Step 2: Convert to fraction form
    30,047.19/41,465.16 = 16,435.41/x
  3. Step 3: Cross multiply
    30,047.19x = 41,465.16 × 16,435.41
  4. Step 4: Simplify right side
    30,047.19x = 681,496,905.32
  5. Step 5: Solve for x
    x = 681,496,905.32/30,047.19
  6. Step 6: Final answer
    x = 22,680.89

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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.