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Finding the Fourth Proportional to 30,176.50, 41,642.32 and 16,748.32

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Solution

The fourth proportional to 30,176.50, 41,642.32 and 16,748.32 is: 23,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,176.50 : 41,642.32 = 16,748.32 : x
  2. Step 2: Convert to fraction form
    30,176.50/41,642.32 = 16,748.32/x
  3. Step 3: Cross multiply
    30,176.50x = 41,642.32 × 16,748.32
  4. Step 4: Simplify right side
    30,176.50x = 697,438,900.90
  5. Step 5: Solve for x
    x = 697,438,900.90/30,176.50
  6. Step 6: Final answer
    x = 23,111.99

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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.