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Finding the Fourth Proportional to 61,710.41, 85,160.51 and 33,416.09

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Solution

The fourth proportional to 61,710.41, 85,160.51 and 33,416.09 is: 46,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,710.41 : 85,160.51 = 33,416.09 : x
  2. Step 2: Convert to fraction form
    61,710.41/85,160.51 = 33,416.09/x
  3. Step 3: Cross multiply
    61,710.41x = 85,160.51 × 33,416.09
  4. Step 4: Simplify right side
    61,710.41x = 2,845,731,785.38
  5. Step 5: Solve for x
    x = 2,845,731,785.38/61,710.41
  6. Step 6: Final answer
    x = 46,114.29

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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.