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Finding the Fourth Proportional to 49,698.89, 74,494.11 and 24,415.81

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Solution

The fourth proportional to 49,698.89, 74,494.11 and 24,415.81 is: 36,597.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,698.89 : 74,494.11 = 24,415.81 : x
  2. Step 2: Convert to fraction form
    49,698.89/74,494.11 = 24,415.81/x
  3. Step 3: Cross multiply
    49,698.89x = 74,494.11 × 24,415.81
  4. Step 4: Simplify right side
    49,698.89x = 1,818,833,663.41
  5. Step 5: Solve for x
    x = 1,818,833,663.41/49,698.89
  6. Step 6: Final answer
    x = 36,597.07

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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.