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Finding the Fourth Proportional to 49,318.42, 73,978.16 and 14,258.38

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Solution

The fourth proportional to 49,318.42, 73,978.16 and 14,258.38 is: 21,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,318.42 : 73,978.16 = 14,258.38 : x
  2. Step 2: Convert to fraction form
    49,318.42/73,978.16 = 14,258.38/x
  3. Step 3: Cross multiply
    49,318.42x = 73,978.16 × 14,258.38
  4. Step 4: Simplify right side
    49,318.42x = 1,054,808,716.98
  5. Step 5: Solve for x
    x = 1,054,808,716.98/49,318.42
  6. Step 6: Final answer
    x = 21,387.72

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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.