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Finding the Fourth Proportional to 54,742.98, 82,059.80 and 47,216.06

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Solution

The fourth proportional to 54,742.98, 82,059.80 and 47,216.06 is: 70,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742.98 : 82,059.80 = 47,216.06 : x
  2. Step 2: Convert to fraction form
    54,742.98/82,059.80 = 47,216.06/x
  3. Step 3: Cross multiply
    54,742.98x = 82,059.80 × 47,216.06
  4. Step 4: Simplify right side
    54,742.98x = 3,874,539,794.01
  5. Step 5: Solve for x
    x = 3,874,539,794.01/54,742.98
  6. Step 6: Final answer
    x = 70,776.93

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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.