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Finding the Fourth Proportional to 92,645.34, 138,947.04 and 55,216.05

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Solution

The fourth proportional to 92,645.34, 138,947.04 and 55,216.05 is: 82,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,645.34 : 138,947.04 = 55,216.05 : x
  2. Step 2: Convert to fraction form
    92,645.34/138,947.04 = 55,216.05/x
  3. Step 3: Cross multiply
    92,645.34x = 138,947.04 × 55,216.05
  4. Step 4: Simplify right side
    92,645.34x = 7,672,106,707.99
  5. Step 5: Solve for x
    x = 7,672,106,707.99/92,645.34
  6. Step 6: Final answer
    x = 82,811.58

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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.