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Finding the Fourth Proportional to 49,658.70, 74,466.45 and 16,365.90

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Solution

The fourth proportional to 49,658.70, 74,466.45 and 16,365.90 is: 24,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,658.70 : 74,466.45 = 16,365.90 : x
  2. Step 2: Convert to fraction form
    49,658.70/74,466.45 = 16,365.90/x
  3. Step 3: Cross multiply
    49,658.70x = 74,466.45 × 16,365.90
  4. Step 4: Simplify right side
    49,658.70x = 1,218,710,474.06
  5. Step 5: Solve for x
    x = 1,218,710,474.06/49,658.70
  6. Step 6: Final answer
    x = 24,541.73

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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.