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Finding the Fourth Proportional to 51,068.40, 70,475.76 and 30,921

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Solution

The fourth proportional to 51,068.40, 70,475.76 and 30,921 is: 42,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,068.40 : 70,475.76 = 30,921 : x
  2. Step 2: Convert to fraction form
    51,068.40/70,475.76 = 30,921/x
  3. Step 3: Cross multiply
    51,068.40x = 70,475.76 × 30,921
  4. Step 4: Simplify right side
    51,068.40x = 2,179,180,974.96
  5. Step 5: Solve for x
    x = 2,179,180,974.96/51,068.40
  6. Step 6: Final answer
    x = 42,671.81

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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.