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Finding the Fourth Proportional to 61,420.98, 84,765.24 and 34,566.06

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Solution

The fourth proportional to 61,420.98, 84,765.24 and 34,566.06 is: 47,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,420.98 : 84,765.24 = 34,566.06 : x
  2. Step 2: Convert to fraction form
    61,420.98/84,765.24 = 34,566.06/x
  3. Step 3: Cross multiply
    61,420.98x = 84,765.24 × 34,566.06
  4. Step 4: Simplify right side
    61,420.98x = 2,930,000,371.75
  5. Step 5: Solve for x
    x = 2,930,000,371.75/61,420.98
  6. Step 6: Final answer
    x = 47,703.58

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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.