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Finding the Fourth Proportional to 59,834.84, 89,752.62 and 18,281.84

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Solution

The fourth proportional to 59,834.84, 89,752.62 and 18,281.84 is: 27,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,834.84 : 89,752.62 = 18,281.84 : x
  2. Step 2: Convert to fraction form
    59,834.84/89,752.62 = 18,281.84/x
  3. Step 3: Cross multiply
    59,834.84x = 89,752.62 × 18,281.84
  4. Step 4: Simplify right side
    59,834.84x = 1,640,843,038.42
  5. Step 5: Solve for x
    x = 1,640,843,038.42/59,834.84
  6. Step 6: Final answer
    x = 27,422.87

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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.