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Finding the Fourth Proportional to 48,200.64, 72,313.43 and 28,227

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Solution

The fourth proportional to 48,200.64, 72,313.43 and 28,227 is: 42,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,200.64 : 72,313.43 = 28,227 : x
  2. Step 2: Convert to fraction form
    48,200.64/72,313.43 = 28,227/x
  3. Step 3: Cross multiply
    48,200.64x = 72,313.43 × 28,227
  4. Step 4: Simplify right side
    48,200.64x = 2,041,191,047.48
  5. Step 5: Solve for x
    x = 2,041,191,047.48/48,200.64
  6. Step 6: Final answer
    x = 42,347.80

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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.