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Finding the Fourth Proportional to 52,268.84, 78,789.02 and 49,220.60

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Solution

The fourth proportional to 52,268.84, 78,789.02 and 49,220.60 is: 74,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,268.84 : 78,789.02 = 49,220.60 : x
  2. Step 2: Convert to fraction form
    52,268.84/78,789.02 = 49,220.60/x
  3. Step 3: Cross multiply
    52,268.84x = 78,789.02 × 49,220.60
  4. Step 4: Simplify right side
    52,268.84x = 3,878,042,837.81
  5. Step 5: Solve for x
    x = 3,878,042,837.81/52,268.84
  6. Step 6: Final answer
    x = 74,194.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.