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Finding the Fourth Proportional to 78,078.06, 107,748 and 42,268.50

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Solution

The fourth proportional to 78,078.06, 107,748 and 42,268.50 is: 58,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078.06 : 107,748 = 42,268.50 : x
  2. Step 2: Convert to fraction form
    78,078.06/107,748 = 42,268.50/x
  3. Step 3: Cross multiply
    78,078.06x = 107,748 × 42,268.50
  4. Step 4: Simplify right side
    78,078.06x = 4,554,346,338
  5. Step 5: Solve for x
    x = 4,554,346,338/78,078.06
  6. Step 6: Final answer
    x = 58,330.68

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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.