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Finding the Fourth Proportional to 38,014.64, 52,447.34 and 24,602.84

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Solution

The fourth proportional to 38,014.64, 52,447.34 and 24,602.84 is: 33,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014.64 : 52,447.34 = 24,602.84 : x
  2. Step 2: Convert to fraction form
    38,014.64/52,447.34 = 24,602.84/x
  3. Step 3: Cross multiply
    38,014.64x = 52,447.34 × 24,602.84
  4. Step 4: Simplify right side
    38,014.64x = 1,290,353,514.45
  5. Step 5: Solve for x
    x = 1,290,353,514.45/38,014.64
  6. Step 6: Final answer
    x = 33,943.59

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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.