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Finding the Fourth Proportional to 48,047.64, 72,086.87 and 23,089.50

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Solution

The fourth proportional to 48,047.64, 72,086.87 and 23,089.50 is: 34,641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,047.64 : 72,086.87 = 23,089.50 : x
  2. Step 2: Convert to fraction form
    48,047.64/72,086.87 = 23,089.50/x
  3. Step 3: Cross multiply
    48,047.64x = 72,086.87 × 23,089.50
  4. Step 4: Simplify right side
    48,047.64x = 1,664,449,842.59
  5. Step 5: Solve for x
    x = 1,664,449,842.59/48,047.64
  6. Step 6: Final answer
    x = 34,641.66

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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.