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Finding the Fourth Proportional to 61,193.22, 84,447.93 and 34,337.67

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Solution

The fourth proportional to 61,193.22, 84,447.93 and 34,337.67 is: 47,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,193.22 : 84,447.93 = 34,337.67 : x
  2. Step 2: Convert to fraction form
    61,193.22/84,447.93 = 34,337.67/x
  3. Step 3: Cross multiply
    61,193.22x = 84,447.93 × 34,337.67
  4. Step 4: Simplify right side
    61,193.22x = 2,899,745,152.52
  5. Step 5: Solve for x
    x = 2,899,745,152.52/61,193.22
  6. Step 6: Final answer
    x = 47,386.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.