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Finding the Fourth Proportional to 59,578.70, 89,367.98 and 15,205.46

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Solution

The fourth proportional to 59,578.70, 89,367.98 and 15,205.46 is: 22,808.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,578.70 : 89,367.98 = 15,205.46 : x
  2. Step 2: Convert to fraction form
    59,578.70/89,367.98 = 15,205.46/x
  3. Step 3: Cross multiply
    59,578.70x = 89,367.98 × 15,205.46
  4. Step 4: Simplify right side
    59,578.70x = 1,358,881,057.43
  5. Step 5: Solve for x
    x = 1,358,881,057.43/59,578.70
  6. Step 6: Final answer
    x = 22,808.17

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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.