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Finding the Fourth Proportional to 48,735, 73,106.15 and 27,666.90

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Solution

The fourth proportional to 48,735, 73,106.15 and 27,666.90 is: 41,502.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,735 : 73,106.15 = 27,666.90 : x
  2. Step 2: Convert to fraction form
    48,735/73,106.15 = 27,666.90/x
  3. Step 3: Cross multiply
    48,735x = 73,106.15 × 27,666.90
  4. Step 4: Simplify right side
    48,735x = 2,022,620,403.10
  5. Step 5: Solve for x
    x = 2,022,620,403.10/48,735
  6. Step 6: Final answer
    x = 41,502.42

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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.