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Finding the Fourth Proportional to 75,106.84, 103,660.14 and 43,294.23

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Solution

The fourth proportional to 75,106.84, 103,660.14 and 43,294.23 is: 59,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106.84 : 103,660.14 = 43,294.23 : x
  2. Step 2: Convert to fraction form
    75,106.84/103,660.14 = 43,294.23/x
  3. Step 3: Cross multiply
    75,106.84x = 103,660.14 × 43,294.23
  4. Step 4: Simplify right side
    75,106.84x = 4,487,885,942.99
  5. Step 5: Solve for x
    x = 4,487,885,942.99/75,106.84
  6. Step 6: Final answer
    x = 59,753.36

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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.