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Finding the Fourth Proportional to 47,825.50, 71,740.79 and 14,543.00

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Solution

The fourth proportional to 47,825.50, 71,740.79 and 14,543.00 is: 21,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,825.50 : 71,740.79 = 14,543.00 : x
  2. Step 2: Convert to fraction form
    47,825.50/71,740.79 = 14,543.00/x
  3. Step 3: Cross multiply
    47,825.50x = 71,740.79 × 14,543.00
  4. Step 4: Simplify right side
    47,825.50x = 1,043,326,415.61
  5. Step 5: Solve for x
    x = 1,043,326,415.61/47,825.50
  6. Step 6: Final answer
    x = 21,815.28

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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.