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Finding the Fourth Proportional to 59,800, 89,705.22 and 15,426.40

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Solution

The fourth proportional to 59,800, 89,705.22 and 15,426.40 is: 23,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,800 : 89,705.22 = 15,426.40 : x
  2. Step 2: Convert to fraction form
    59,800/89,705.22 = 15,426.40/x
  3. Step 3: Cross multiply
    59,800x = 89,705.22 × 15,426.40
  4. Step 4: Simplify right side
    59,800x = 1,383,828,605.81
  5. Step 5: Solve for x
    x = 1,383,828,605.81/59,800
  6. Step 6: Final answer
    x = 23,140.95

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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.