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Finding the Fourth Proportional to 40,527, 60,763.50 and 16,828.38

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Solution

The fourth proportional to 40,527, 60,763.50 and 16,828.38 is: 25,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,527 : 60,763.50 = 16,828.38 : x
  2. Step 2: Convert to fraction form
    40,527/60,763.50 = 16,828.38/x
  3. Step 3: Cross multiply
    40,527x = 60,763.50 × 16,828.38
  4. Step 4: Simplify right side
    40,527x = 1,022,551,268.13
  5. Step 5: Solve for x
    x = 1,022,551,268.13/40,527
  6. Step 6: Final answer
    x = 25,231.36

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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.