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Finding the Fourth Proportional to 51,546, 77,331.96 and 14,610

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Solution

The fourth proportional to 51,546, 77,331.96 and 14,610 is: 21,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,546 : 77,331.96 = 14,610 : x
  2. Step 2: Convert to fraction form
    51,546/77,331.96 = 14,610/x
  3. Step 3: Cross multiply
    51,546x = 77,331.96 × 14,610
  4. Step 4: Simplify right side
    51,546x = 1,129,819,935.60
  5. Step 5: Solve for x
    x = 1,129,819,935.60/51,546
  6. Step 6: Final answer
    x = 21,918.67

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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.