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Finding the Fourth Proportional to 38,407.64, 52,962.12 and 30,327.89

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Solution

The fourth proportional to 38,407.64, 52,962.12 and 30,327.89 is: 41,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.64 : 52,962.12 = 30,327.89 : x
  2. Step 2: Convert to fraction form
    38,407.64/52,962.12 = 30,327.89/x
  3. Step 3: Cross multiply
    38,407.64x = 52,962.12 × 30,327.89
  4. Step 4: Simplify right side
    38,407.64x = 1,606,229,084.72
  5. Step 5: Solve for x
    x = 1,606,229,084.72/38,407.64
  6. Step 6: Final answer
    x = 41,820.57

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