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Finding the Fourth Proportional to 59,453.76, 89,189.28 and 31,736.64

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Solution

The fourth proportional to 59,453.76, 89,189.28 and 31,736.64 is: 47,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,453.76 : 89,189.28 = 31,736.64 : x
  2. Step 2: Convert to fraction form
    59,453.76/89,189.28 = 31,736.64/x
  3. Step 3: Cross multiply
    59,453.76x = 89,189.28 × 31,736.64
  4. Step 4: Simplify right side
    59,453.76x = 2,830,568,071.22
  5. Step 5: Solve for x
    x = 2,830,568,071.22/59,453.76
  6. Step 6: Final answer
    x = 47,609.57

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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.