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Finding the Fourth Proportional to 65,234.24, 90,020.59 and 38,012.93

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Solution

The fourth proportional to 65,234.24, 90,020.59 and 38,012.93 is: 52,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.24 : 90,020.59 = 38,012.93 : x
  2. Step 2: Convert to fraction form
    65,234.24/90,020.59 = 38,012.93/x
  3. Step 3: Cross multiply
    65,234.24x = 90,020.59 × 38,012.93
  4. Step 4: Simplify right side
    65,234.24x = 3,421,945,841.09
  5. Step 5: Solve for x
    x = 3,421,945,841.09/65,234.24
  6. Step 6: Final answer
    x = 52,456.28

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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.