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Finding the Fourth Proportional to 30,176.92, 41,642.20 and 16,748.18

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Solution

The fourth proportional to 30,176.92, 41,642.20 and 16,748.18 is: 23,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.92 : 41,642.20 = 16,748.18 : x
  2. Step 2: Convert to fraction form
    30,176.92/41,642.20 = 16,748.18/x
  3. Step 3: Cross multiply
    30,176.92x = 41,642.20 × 16,748.18
  4. Step 4: Simplify right side
    30,176.92x = 697,430,769.24
  5. Step 5: Solve for x
    x = 697,430,769.24/30,176.92
  6. Step 6: Final answer
    x = 23,111.40

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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.