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Finding the Fourth Proportional to 64,708.75, 97,063.14 and 20,932.75

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Solution

The fourth proportional to 64,708.75, 97,063.14 and 20,932.75 is: 31,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,708.75 : 97,063.14 = 20,932.75 : x
  2. Step 2: Convert to fraction form
    64,708.75/97,063.14 = 20,932.75/x
  3. Step 3: Cross multiply
    64,708.75x = 97,063.14 × 20,932.75
  4. Step 4: Simplify right side
    64,708.75x = 2,031,798,443.84
  5. Step 5: Solve for x
    x = 2,031,798,443.84/64,708.75
  6. Step 6: Final answer
    x = 31,399.13

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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.