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Finding the Fourth Proportional to 59,282.84, 81,812.94 and 34,140.44

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Solution

The fourth proportional to 59,282.84, 81,812.94 and 34,140.44 is: 47,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,282.84 : 81,812.94 = 34,140.44 : x
  2. Step 2: Convert to fraction form
    59,282.84/81,812.94 = 34,140.44/x
  3. Step 3: Cross multiply
    59,282.84x = 81,812.94 × 34,140.44
  4. Step 4: Simplify right side
    59,282.84x = 2,793,129,769.29
  5. Step 5: Solve for x
    x = 2,793,129,769.29/59,282.84
  6. Step 6: Final answer
    x = 47,115.32

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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.