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Finding the Fourth Proportional to 51,506.46, 77,129.01 and 43,164.54

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Solution

The fourth proportional to 51,506.46, 77,129.01 and 43,164.54 is: 64,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,506.46 : 77,129.01 = 43,164.54 : x
  2. Step 2: Convert to fraction form
    51,506.46/77,129.01 = 43,164.54/x
  3. Step 3: Cross multiply
    51,506.46x = 77,129.01 × 43,164.54
  4. Step 4: Simplify right side
    51,506.46x = 3,329,238,237.31
  5. Step 5: Solve for x
    x = 3,329,238,237.31/51,506.46
  6. Step 6: Final answer
    x = 64,637.29

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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.