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Finding the Fourth Proportional to 61,782, 85,260.48 and 34,922.90

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Solution

The fourth proportional to 61,782, 85,260.48 and 34,922.90 is: 48,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782 : 85,260.48 = 34,922.90 : x
  2. Step 2: Convert to fraction form
    61,782/85,260.48 = 34,922.90/x
  3. Step 3: Cross multiply
    61,782x = 85,260.48 × 34,922.90
  4. Step 4: Simplify right side
    61,782x = 2,977,543,216.99
  5. Step 5: Solve for x
    x = 2,977,543,216.99/61,782
  6. Step 6: Final answer
    x = 48,194.35

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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.