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Finding the Fourth Proportional to 49,478.40, 74,189.48 and 19,476.38

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Solution

The fourth proportional to 49,478.40, 74,189.48 and 19,476.38 is: 29,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,478.40 : 74,189.48 = 19,476.38 : x
  2. Step 2: Convert to fraction form
    49,478.40/74,189.48 = 19,476.38/x
  3. Step 3: Cross multiply
    49,478.40x = 74,189.48 × 19,476.38
  4. Step 4: Simplify right side
    49,478.40x = 1,444,942,133.54
  5. Step 5: Solve for x
    x = 1,444,942,133.54/49,478.40
  6. Step 6: Final answer
    x = 29,203.49

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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.