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Finding the Fourth Proportional to 52,784.39, 72,843.63 and 30,122.93

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Solution

The fourth proportional to 52,784.39, 72,843.63 and 30,122.93 is: 41,570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,784.39 : 72,843.63 = 30,122.93 : x
  2. Step 2: Convert to fraction form
    52,784.39/72,843.63 = 30,122.93/x
  3. Step 3: Cross multiply
    52,784.39x = 72,843.63 × 30,122.93
  4. Step 4: Simplify right side
    52,784.39x = 2,194,263,203.22
  5. Step 5: Solve for x
    x = 2,194,263,203.22/52,784.39
  6. Step 6: Final answer
    x = 41,570.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.