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Finding the Fourth Proportional to 74,614.42, 111,903.17 and 46,520

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Solution

The fourth proportional to 74,614.42, 111,903.17 and 46,520 is: 69,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614.42 : 111,903.17 = 46,520 : x
  2. Step 2: Convert to fraction form
    74,614.42/111,903.17 = 46,520/x
  3. Step 3: Cross multiply
    74,614.42x = 111,903.17 × 46,520
  4. Step 4: Simplify right side
    74,614.42x = 5,205,735,235.80
  5. Step 5: Solve for x
    x = 5,205,735,235.80/74,614.42
  6. Step 6: Final answer
    x = 69,768.49

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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.