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Finding the Fourth Proportional to 77,515.60, 116,299.29 and 30,132.29

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Solution

The fourth proportional to 77,515.60, 116,299.29 and 30,132.29 is: 45,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,515.60 : 116,299.29 = 30,132.29 : x
  2. Step 2: Convert to fraction form
    77,515.60/116,299.29 = 30,132.29/x
  3. Step 3: Cross multiply
    77,515.60x = 116,299.29 × 30,132.29
  4. Step 4: Simplify right side
    77,515.60x = 3,504,363,933.07
  5. Step 5: Solve for x
    x = 3,504,363,933.07/77,515.60
  6. Step 6: Final answer
    x = 45,208.50

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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.