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Finding the Fourth Proportional to 53,467.34, 73,801.36 and 30,821.48

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Solution

The fourth proportional to 53,467.34, 73,801.36 and 30,821.48 is: 42,543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,467.34 : 73,801.36 = 30,821.48 : x
  2. Step 2: Convert to fraction form
    53,467.34/73,801.36 = 30,821.48/x
  3. Step 3: Cross multiply
    53,467.34x = 73,801.36 × 30,821.48
  4. Step 4: Simplify right side
    53,467.34x = 2,274,666,772.21
  5. Step 5: Solve for x
    x = 2,274,666,772.21/53,467.34
  6. Step 6: Final answer
    x = 42,543.11

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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.