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Finding the Fourth Proportional to 38,562.83, 53,213.41 and 22,430.47

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Solution

The fourth proportional to 38,562.83, 53,213.41 and 22,430.47 is: 30,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,562.83 : 53,213.41 = 22,430.47 : x
  2. Step 2: Convert to fraction form
    38,562.83/53,213.41 = 22,430.47/x
  3. Step 3: Cross multiply
    38,562.83x = 53,213.41 × 22,430.47
  4. Step 4: Simplify right side
    38,562.83x = 1,193,601,665.21
  5. Step 5: Solve for x
    x = 1,193,601,665.21/38,562.83
  6. Step 6: Final answer
    x = 30,952.12

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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.