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Finding the Fourth Proportional to 51,381.30, 70,905.65 and 30,156.46

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Solution

The fourth proportional to 51,381.30, 70,905.65 and 30,156.46 is: 41,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381.30 : 70,905.65 = 30,156.46 : x
  2. Step 2: Convert to fraction form
    51,381.30/70,905.65 = 30,156.46/x
  3. Step 3: Cross multiply
    51,381.30x = 70,905.65 × 30,156.46
  4. Step 4: Simplify right side
    51,381.30x = 2,138,263,473.39
  5. Step 5: Solve for x
    x = 2,138,263,473.39/51,381.30
  6. Step 6: Final answer
    x = 41,615.60

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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.