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Finding the Fourth Proportional to 48,228.40, 72,331.80 and 31,704.40

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Solution

The fourth proportional to 48,228.40, 72,331.80 and 31,704.40 is: 47,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,228.40 : 72,331.80 = 31,704.40 : x
  2. Step 2: Convert to fraction form
    48,228.40/72,331.80 = 31,704.40/x
  3. Step 3: Cross multiply
    48,228.40x = 72,331.80 × 31,704.40
  4. Step 4: Simplify right side
    48,228.40x = 2,293,236,319.92
  5. Step 5: Solve for x
    x = 2,293,236,319.92/48,228.40
  6. Step 6: Final answer
    x = 47,549.50

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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.