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Finding the Fourth Proportional to 32,927.80, 49,359.30 and 16,290.40

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Solution

The fourth proportional to 32,927.80, 49,359.30 and 16,290.40 is: 24,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,927.80 : 49,359.30 = 16,290.40 : x
  2. Step 2: Convert to fraction form
    32,927.80/49,359.30 = 16,290.40/x
  3. Step 3: Cross multiply
    32,927.80x = 49,359.30 × 16,290.40
  4. Step 4: Simplify right side
    32,927.80x = 804,082,740.72
  5. Step 5: Solve for x
    x = 804,082,740.72/32,927.80
  6. Step 6: Final answer
    x = 24,419.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.