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Finding the Fourth Proportional to 53,206.34, 73,422.49 and 29,006.78

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Solution

The fourth proportional to 53,206.34, 73,422.49 and 29,006.78 is: 40,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,206.34 : 73,422.49 = 29,006.78 : x
  2. Step 2: Convert to fraction form
    53,206.34/73,422.49 = 29,006.78/x
  3. Step 3: Cross multiply
    53,206.34x = 73,422.49 × 29,006.78
  4. Step 4: Simplify right side
    53,206.34x = 2,129,750,014.48
  5. Step 5: Solve for x
    x = 2,129,750,014.48/53,206.34
  6. Step 6: Final answer
    x = 40,028.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.