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Finding the Fourth Proportional to 51,673.70, 71,309.07 and 29,012.13

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Solution

The fourth proportional to 51,673.70, 71,309.07 and 29,012.13 is: 40,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,673.70 : 71,309.07 = 29,012.13 : x
  2. Step 2: Convert to fraction form
    51,673.70/71,309.07 = 29,012.13/x
  3. Step 3: Cross multiply
    51,673.70x = 71,309.07 × 29,012.13
  4. Step 4: Simplify right side
    51,673.70x = 2,068,828,009.02
  5. Step 5: Solve for x
    x = 2,068,828,009.02/51,673.70
  6. Step 6: Final answer
    x = 40,036.38

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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.