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Finding the Fourth Proportional to 51,883.64, 71,599.50 and 30,673.40

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Solution

The fourth proportional to 51,883.64, 71,599.50 and 30,673.40 is: 42,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,883.64 : 71,599.50 = 30,673.40 : x
  2. Step 2: Convert to fraction form
    51,883.64/71,599.50 = 30,673.40/x
  3. Step 3: Cross multiply
    51,883.64x = 71,599.50 × 30,673.40
  4. Step 4: Simplify right side
    51,883.64x = 2,196,200,103.30
  5. Step 5: Solve for x
    x = 2,196,200,103.30/51,883.64
  6. Step 6: Final answer
    x = 42,329.34

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1.5x scale

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.