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Finding the Fourth Proportional to 49,430, 74,154.32 and 19,850.16

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Solution

The fourth proportional to 49,430, 74,154.32 and 19,850.16 is: 29,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,430 : 74,154.32 = 19,850.16 : x
  2. Step 2: Convert to fraction form
    49,430/74,154.32 = 19,850.16/x
  3. Step 3: Cross multiply
    49,430x = 74,154.32 × 19,850.16
  4. Step 4: Simplify right side
    49,430x = 1,471,975,116.69
  5. Step 5: Solve for x
    x = 1,471,975,116.69/49,430
  6. Step 6: Final answer
    x = 29,778.98

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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.