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Finding the Fourth Proportional to 55,975.70, 84,009.45 and 55,538.30

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Solution

The fourth proportional to 55,975.70, 84,009.45 and 55,538.30 is: 83,352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,975.70 : 84,009.45 = 55,538.30 : x
  2. Step 2: Convert to fraction form
    55,975.70/84,009.45 = 55,538.30/x
  3. Step 3: Cross multiply
    55,975.70x = 84,009.45 × 55,538.30
  4. Step 4: Simplify right side
    55,975.70x = 4,665,742,036.94
  5. Step 5: Solve for x
    x = 4,665,742,036.94/55,975.70
  6. Step 6: Final answer
    x = 83,352.99

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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.