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Finding the Fourth Proportional to 51,880.64, 71,595.36 and 30,670.40

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Solution

The fourth proportional to 51,880.64, 71,595.36 and 30,670.40 is: 42,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880.64 : 71,595.36 = 30,670.40 : x
  2. Step 2: Convert to fraction form
    51,880.64/71,595.36 = 30,670.40/x
  3. Step 3: Cross multiply
    51,880.64x = 71,595.36 × 30,670.40
  4. Step 4: Simplify right side
    51,880.64x = 2,195,858,329.34
  5. Step 5: Solve for x
    x = 2,195,858,329.34/51,880.64
  6. Step 6: Final answer
    x = 42,325.20

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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.