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Finding the Fourth Proportional to 38,754.84, 53,459.09 and 24,409.05

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Solution

The fourth proportional to 38,754.84, 53,459.09 and 24,409.05 is: 33,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,754.84 : 53,459.09 = 24,409.05 : x
  2. Step 2: Convert to fraction form
    38,754.84/53,459.09 = 24,409.05/x
  3. Step 3: Cross multiply
    38,754.84x = 53,459.09 × 24,409.05
  4. Step 4: Simplify right side
    38,754.84x = 1,304,885,478.72
  5. Step 5: Solve for x
    x = 1,304,885,478.72/38,754.84
  6. Step 6: Final answer
    x = 33,670.26

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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.