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Finding the Fourth Proportional to 48,234.40, 72,340.80 and 31,710.40

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Solution

The fourth proportional to 48,234.40, 72,340.80 and 31,710.40 is: 47,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,234.40 : 72,340.80 = 31,710.40 : x
  2. Step 2: Convert to fraction form
    48,234.40/72,340.80 = 31,710.40/x
  3. Step 3: Cross multiply
    48,234.40x = 72,340.80 × 31,710.40
  4. Step 4: Simplify right side
    48,234.40x = 2,293,955,704.32
  5. Step 5: Solve for x
    x = 2,293,955,704.32/48,234.40
  6. Step 6: Final answer
    x = 47,558.50

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