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Finding the Fourth Proportional to 38,549.98, 53,192.93 and 22,420.86

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Solution

The fourth proportional to 38,549.98, 53,192.93 and 22,420.86 is: 30,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,549.98 : 53,192.93 = 22,420.86 : x
  2. Step 2: Convert to fraction form
    38,549.98/53,192.93 = 22,420.86/x
  3. Step 3: Cross multiply
    38,549.98x = 53,192.93 × 22,420.86
  4. Step 4: Simplify right side
    38,549.98x = 1,192,631,236.52
  5. Step 5: Solve for x
    x = 1,192,631,236.52/38,549.98
  6. Step 6: Final answer
    x = 30,937.27

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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.