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Finding the Fourth Proportional to 51,683.96, 71,284.84 and 44,526

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Solution

The fourth proportional to 51,683.96, 71,284.84 and 44,526 is: 61,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,683.96 : 71,284.84 = 44,526 : x
  2. Step 2: Convert to fraction form
    51,683.96/71,284.84 = 44,526/x
  3. Step 3: Cross multiply
    51,683.96x = 71,284.84 × 44,526
  4. Step 4: Simplify right side
    51,683.96x = 3,174,028,785.84
  5. Step 5: Solve for x
    x = 3,174,028,785.84/51,683.96
  6. Step 6: Final answer
    x = 61,412.26

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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.