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Finding the Fourth Proportional to 53,106.98, 73,288.13 and 29,234.13

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Solution

The fourth proportional to 53,106.98, 73,288.13 and 29,234.13 is: 40,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,106.98 : 73,288.13 = 29,234.13 : x
  2. Step 2: Convert to fraction form
    53,106.98/73,288.13 = 29,234.13/x
  3. Step 3: Cross multiply
    53,106.98x = 73,288.13 × 29,234.13
  4. Step 4: Simplify right side
    53,106.98x = 2,142,514,719.88
  5. Step 5: Solve for x
    x = 2,142,514,719.88/53,106.98
  6. Step 6: Final answer
    x = 40,343.37

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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.