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Finding the Fourth Proportional to 78,078.53, 107,747.09 and 42,268.22

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Solution

The fourth proportional to 78,078.53, 107,747.09 and 42,268.22 is: 58,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.53 : 107,747.09 = 42,268.22 : x
  2. Step 2: Convert to fraction form
    78,078.53/107,747.09 = 42,268.22/x
  3. Step 3: Cross multiply
    78,078.53x = 107,747.09 × 42,268.22
  4. Step 4: Simplify right side
    78,078.53x = 4,554,277,762.51
  5. Step 5: Solve for x
    x = 4,554,277,762.51/78,078.53
  6. Step 6: Final answer
    x = 58,329.45

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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.