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Finding the Fourth Proportional to 38,723.68, 53,437.80 and 22,808.80

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Solution

The fourth proportional to 38,723.68, 53,437.80 and 22,808.80 is: 31,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,723.68 : 53,437.80 = 22,808.80 : x
  2. Step 2: Convert to fraction form
    38,723.68/53,437.80 = 22,808.80/x
  3. Step 3: Cross multiply
    38,723.68x = 53,437.80 × 22,808.80
  4. Step 4: Simplify right side
    38,723.68x = 1,218,852,092.64
  5. Step 5: Solve for x
    x = 1,218,852,092.64/38,723.68
  6. Step 6: Final answer
    x = 31,475.63

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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.