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Finding the Fourth Proportional to 74,426.51, 102,638.21 and 48,887.81

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Solution

The fourth proportional to 74,426.51, 102,638.21 and 48,887.81 is: 67,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,426.51 : 102,638.21 = 48,887.81 : x
  2. Step 2: Convert to fraction form
    74,426.51/102,638.21 = 48,887.81/x
  3. Step 3: Cross multiply
    74,426.51x = 102,638.21 × 48,887.81
  4. Step 4: Simplify right side
    74,426.51x = 5,017,757,321.38
  5. Step 5: Solve for x
    x = 5,017,757,321.38/74,426.51
  6. Step 6: Final answer
    x = 67,418.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.