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Finding the Fourth Proportional to 30,076.65, 41,506.29 and 16,465.88

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Solution

The fourth proportional to 30,076.65, 41,506.29 and 16,465.88 is: 22,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,076.65 : 41,506.29 = 16,465.88 : x
  2. Step 2: Convert to fraction form
    30,076.65/41,506.29 = 16,465.88/x
  3. Step 3: Cross multiply
    30,076.65x = 41,506.29 × 16,465.88
  4. Step 4: Simplify right side
    30,076.65x = 683,437,694.15
  5. Step 5: Solve for x
    x = 683,437,694.15/30,076.65
  6. Step 6: Final answer
    x = 22,723.20

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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.