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Finding the Fourth Proportional to 61,784.51, 85,233.94 and 36,282.60

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Solution

The fourth proportional to 61,784.51, 85,233.94 and 36,282.60 is: 50,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,784.51 : 85,233.94 = 36,282.60 : x
  2. Step 2: Convert to fraction form
    61,784.51/85,233.94 = 36,282.60/x
  3. Step 3: Cross multiply
    61,784.51x = 85,233.94 × 36,282.60
  4. Step 4: Simplify right side
    61,784.51x = 3,092,508,860.74
  5. Step 5: Solve for x
    x = 3,092,508,860.74/61,784.51
  6. Step 6: Final answer
    x = 50,053.15

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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.