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Finding the Fourth Proportional to 92,421, 138,635.55 and 30,091.50

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Solution

The fourth proportional to 92,421, 138,635.55 and 30,091.50 is: 45,138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,421 : 138,635.55 = 30,091.50 : x
  2. Step 2: Convert to fraction form
    92,421/138,635.55 = 30,091.50/x
  3. Step 3: Cross multiply
    92,421x = 138,635.55 × 30,091.50
  4. Step 4: Simplify right side
    92,421x = 4,171,751,652.83
  5. Step 5: Solve for x
    x = 4,171,751,652.83/92,421
  6. Step 6: Final answer
    x = 45,138.57

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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.