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Finding the Fourth Proportional to 38,437.84, 53,016.96 and 24,984.28

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Solution

The fourth proportional to 38,437.84, 53,016.96 and 24,984.28 is: 34,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,437.84 : 53,016.96 = 24,984.28 : x
  2. Step 2: Convert to fraction form
    38,437.84/53,016.96 = 24,984.28/x
  3. Step 3: Cross multiply
    38,437.84x = 53,016.96 × 24,984.28
  4. Step 4: Simplify right side
    38,437.84x = 1,324,590,573.39
  5. Step 5: Solve for x
    x = 1,324,590,573.39/38,437.84
  6. Step 6: Final answer
    x = 34,460.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.