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Finding the Fourth Proportional to 48,200.40, 72,289.80 and 31,676.40

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Solution

The fourth proportional to 48,200.40, 72,289.80 and 31,676.40 is: 47,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,200.40 : 72,289.80 = 31,676.40 : x
  2. Step 2: Convert to fraction form
    48,200.40/72,289.80 = 31,676.40/x
  3. Step 3: Cross multiply
    48,200.40x = 72,289.80 × 31,676.40
  4. Step 4: Simplify right side
    48,200.40x = 2,289,880,620.72
  5. Step 5: Solve for x
    x = 2,289,880,620.72/48,200.40
  6. Step 6: Final answer
    x = 47,507.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.