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Finding the Fourth Proportional to 38,967.57, 53,775.35 and 24,653.00

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Solution

The fourth proportional to 38,967.57, 53,775.35 and 24,653.00 is: 34,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967.57 : 53,775.35 = 24,653.00 : x
  2. Step 2: Convert to fraction form
    38,967.57/53,775.35 = 24,653.00/x
  3. Step 3: Cross multiply
    38,967.57x = 53,775.35 × 24,653.00
  4. Step 4: Simplify right side
    38,967.57x = 1,325,723,311.41
  5. Step 5: Solve for x
    x = 1,325,723,311.41/38,967.57
  6. Step 6: Final answer
    x = 34,021.20

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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.