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Finding the Fourth Proportional to 61,678.80, 85,116.64 and 33,384.44

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Solution

The fourth proportional to 61,678.80, 85,116.64 and 33,384.44 is: 46,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678.80 : 85,116.64 = 33,384.44 : x
  2. Step 2: Convert to fraction form
    61,678.80/85,116.64 = 33,384.44/x
  3. Step 3: Cross multiply
    61,678.80x = 85,116.64 × 33,384.44
  4. Step 4: Simplify right side
    61,678.80x = 2,841,571,361.08
  5. Step 5: Solve for x
    x = 2,841,571,361.08/61,678.80
  6. Step 6: Final answer
    x = 46,070.47

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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.