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Finding the Fourth Proportional to 61,832.80, 85,333.02 and 34,977.88

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Solution

The fourth proportional to 61,832.80, 85,333.02 and 34,977.88 is: 48,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,832.80 : 85,333.02 = 34,977.88 : x
  2. Step 2: Convert to fraction form
    61,832.80/85,333.02 = 34,977.88/x
  3. Step 3: Cross multiply
    61,832.80x = 85,333.02 × 34,977.88
  4. Step 4: Simplify right side
    61,832.80x = 2,984,768,133.60
  5. Step 5: Solve for x
    x = 2,984,768,133.60/61,832.80
  6. Step 6: Final answer
    x = 48,271.60

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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.