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Finding the Fourth Proportional to 75,107.90, 103,660.29 and 42,842.36

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Solution

The fourth proportional to 75,107.90, 103,660.29 and 42,842.36 is: 59,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,107.90 : 103,660.29 = 42,842.36 : x
  2. Step 2: Convert to fraction form
    75,107.90/103,660.29 = 42,842.36/x
  3. Step 3: Cross multiply
    75,107.90x = 103,660.29 × 42,842.36
  4. Step 4: Simplify right side
    75,107.90x = 4,441,051,721.04
  5. Step 5: Solve for x
    x = 4,441,051,721.04/75,107.90
  6. Step 6: Final answer
    x = 59,128.95

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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.