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Finding the Fourth Proportional to 54,744.95, 82,203.35 and 32,656.83

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Solution

The fourth proportional to 54,744.95, 82,203.35 and 32,656.83 is: 49,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744.95 : 82,203.35 = 32,656.83 : x
  2. Step 2: Convert to fraction form
    54,744.95/82,203.35 = 32,656.83/x
  3. Step 3: Cross multiply
    54,744.95x = 82,203.35 × 32,656.83
  4. Step 4: Simplify right side
    54,744.95x = 2,684,500,663.10
  5. Step 5: Solve for x
    x = 2,684,500,663.10/54,744.95
  6. Step 6: Final answer
    x = 49,036.50

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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.