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Finding the Fourth Proportional to 54,596.50, 81,807 and 45,848.50

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Solution

The fourth proportional to 54,596.50, 81,807 and 45,848.50 is: 68,699.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,596.50 : 81,807 = 45,848.50 : x
  2. Step 2: Convert to fraction form
    54,596.50/81,807 = 45,848.50/x
  3. Step 3: Cross multiply
    54,596.50x = 81,807 × 45,848.50
  4. Step 4: Simplify right side
    54,596.50x = 3,750,728,239.50
  5. Step 5: Solve for x
    x = 3,750,728,239.50/54,596.50
  6. Step 6: Final answer
    x = 68,699.06

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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.