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Finding the Fourth Proportional to 77,564.50, 116,346.75 and 22,160.50

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Solution

The fourth proportional to 77,564.50, 116,346.75 and 22,160.50 is: 33,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,564.50 : 116,346.75 = 22,160.50 : x
  2. Step 2: Convert to fraction form
    77,564.50/116,346.75 = 22,160.50/x
  3. Step 3: Cross multiply
    77,564.50x = 116,346.75 × 22,160.50
  4. Step 4: Simplify right side
    77,564.50x = 2,578,302,153.38
  5. Step 5: Solve for x
    x = 2,578,302,153.38/77,564.50
  6. Step 6: Final answer
    x = 33,240.75

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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.