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Finding the Fourth Proportional to 61,709.88, 85,159.50 and 33,415.80

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Solution

The fourth proportional to 61,709.88, 85,159.50 and 33,415.80 is: 46,113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,709.88 : 85,159.50 = 33,415.80 : x
  2. Step 2: Convert to fraction form
    61,709.88/85,159.50 = 33,415.80/x
  3. Step 3: Cross multiply
    61,709.88x = 85,159.50 × 33,415.80
  4. Step 4: Simplify right side
    61,709.88x = 2,845,672,820.10
  5. Step 5: Solve for x
    x = 2,845,672,820.10/61,709.88
  6. Step 6: Final answer
    x = 46,113.73

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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.