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Finding the Fourth Proportional to 30,176.10, 41,642.96 and 16,747.51

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Solution

The fourth proportional to 30,176.10, 41,642.96 and 16,747.51 is: 23,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.10 : 41,642.96 = 16,747.51 : x
  2. Step 2: Convert to fraction form
    30,176.10/41,642.96 = 16,747.51/x
  3. Step 3: Cross multiply
    30,176.10x = 41,642.96 × 16,747.51
  4. Step 4: Simplify right side
    30,176.10x = 697,415,805.29
  5. Step 5: Solve for x
    x = 697,415,805.29/30,176.10
  6. Step 6: Final answer
    x = 23,111.53

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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.