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Finding the Fourth Proportional to 38,506.70, 53,110.81 and 24,345.88

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Solution

The fourth proportional to 38,506.70, 53,110.81 and 24,345.88 is: 33,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.70 : 53,110.81 = 24,345.88 : x
  2. Step 2: Convert to fraction form
    38,506.70/53,110.81 = 24,345.88/x
  3. Step 3: Cross multiply
    38,506.70x = 53,110.81 × 24,345.88
  4. Step 4: Simplify right side
    38,506.70x = 1,293,029,406.96
  5. Step 5: Solve for x
    x = 1,293,029,406.96/38,506.70
  6. Step 6: Final answer
    x = 33,579.34

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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.