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Finding the Fourth Proportional to 77,568, 107,043.84 and 42,240

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Solution

The fourth proportional to 77,568, 107,043.84 and 42,240 is: 58,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,568 : 107,043.84 = 42,240 : x
  2. Step 2: Convert to fraction form
    77,568/107,043.84 = 42,240/x
  3. Step 3: Cross multiply
    77,568x = 107,043.84 × 42,240
  4. Step 4: Simplify right side
    77,568x = 4,521,531,801.60
  5. Step 5: Solve for x
    x = 4,521,531,801.60/77,568
  6. Step 6: Final answer
    x = 58,291.20

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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.