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Finding the Fourth Proportional to 47,117.50, 70,676.37 and 14,285.50

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Solution

The fourth proportional to 47,117.50, 70,676.37 and 14,285.50 is: 21,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,117.50 : 70,676.37 = 14,285.50 : x
  2. Step 2: Convert to fraction form
    47,117.50/70,676.37 = 14,285.50/x
  3. Step 3: Cross multiply
    47,117.50x = 70,676.37 × 14,285.50
  4. Step 4: Simplify right side
    47,117.50x = 1,009,647,283.64
  5. Step 5: Solve for x
    x = 1,009,647,283.64/47,117.50
  6. Step 6: Final answer
    x = 21,428.29

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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.