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Finding the Fourth Proportional to 38,570.72, 53,224.09 and 24,423.26

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Solution

The fourth proportional to 38,570.72, 53,224.09 and 24,423.26 is: 33,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570.72 : 53,224.09 = 24,423.26 : x
  2. Step 2: Convert to fraction form
    38,570.72/53,224.09 = 24,423.26/x
  3. Step 3: Cross multiply
    38,570.72x = 53,224.09 × 24,423.26
  4. Step 4: Simplify right side
    38,570.72x = 1,299,905,461.15
  5. Step 5: Solve for x
    x = 1,299,905,461.15/38,570.72
  6. Step 6: Final answer
    x = 33,701.88

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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.