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Finding the Fourth Proportional to 55,303.83, 83,038.82 and 31,638.09

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Solution

The fourth proportional to 55,303.83, 83,038.82 and 31,638.09 is: 47,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,303.83 : 83,038.82 = 31,638.09 : x
  2. Step 2: Convert to fraction form
    55,303.83/83,038.82 = 31,638.09/x
  3. Step 3: Cross multiply
    55,303.83x = 83,038.82 × 31,638.09
  4. Step 4: Simplify right side
    55,303.83x = 2,627,189,991.82
  5. Step 5: Solve for x
    x = 2,627,189,991.82/55,303.83
  6. Step 6: Final answer
    x = 47,504.67

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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.