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Finding the Fourth Proportional to 59,657, 89,486.22 and 26,825

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Solution

The fourth proportional to 59,657, 89,486.22 and 26,825 is: 40,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,657 : 89,486.22 = 26,825 : x
  2. Step 2: Convert to fraction form
    59,657/89,486.22 = 26,825/x
  3. Step 3: Cross multiply
    59,657x = 89,486.22 × 26,825
  4. Step 4: Simplify right side
    59,657x = 2,400,467,851.50
  5. Step 5: Solve for x
    x = 2,400,467,851.50/59,657
  6. Step 6: Final answer
    x = 40,237.82

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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.