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Finding the Fourth Proportional to 59,834.84, 89,762.92 and 19,856.22

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Solution

The fourth proportional to 59,834.84, 89,762.92 and 19,856.22 is: 29,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,834.84 : 89,762.92 = 19,856.22 : x
  2. Step 2: Convert to fraction form
    59,834.84/89,762.92 = 19,856.22/x
  3. Step 3: Cross multiply
    59,834.84x = 89,762.92 × 19,856.22
  4. Step 4: Simplify right side
    59,834.84x = 1,782,352,287.36
  5. Step 5: Solve for x
    x = 1,782,352,287.36/59,834.84
  6. Step 6: Final answer
    x = 29,787.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.