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Finding the Fourth Proportional to 38,442.68, 53,054.58 and 24,104.80

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Solution

The fourth proportional to 38,442.68, 53,054.58 and 24,104.80 is: 33,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.68 : 53,054.58 = 24,104.80 : x
  2. Step 2: Convert to fraction form
    38,442.68/53,054.58 = 24,104.80/x
  3. Step 3: Cross multiply
    38,442.68x = 53,054.58 × 24,104.80
  4. Step 4: Simplify right side
    38,442.68x = 1,278,870,039.98
  5. Step 5: Solve for x
    x = 1,278,870,039.98/38,442.68
  6. Step 6: Final answer
    x = 33,266.93

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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.