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Finding the Fourth Proportional to 61,842.86, 85,343.16 and 34,984.82

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Solution

The fourth proportional to 61,842.86, 85,343.16 and 34,984.82 is: 48,279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,842.86 : 85,343.16 = 34,984.82 : x
  2. Step 2: Convert to fraction form
    61,842.86/85,343.16 = 34,984.82/x
  3. Step 3: Cross multiply
    61,842.86x = 85,343.16 × 34,984.82
  4. Step 4: Simplify right side
    61,842.86x = 2,985,715,090.83
  5. Step 5: Solve for x
    x = 2,985,715,090.83/61,842.86
  6. Step 6: Final answer
    x = 48,279.06

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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.