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Finding the Fourth Proportional to 77,676.68, 116,482.91 and 24,350.81

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Solution

The fourth proportional to 77,676.68, 116,482.91 and 24,350.81 is: 36,516.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676.68 : 116,482.91 = 24,350.81 : x
  2. Step 2: Convert to fraction form
    77,676.68/116,482.91 = 24,350.81/x
  3. Step 3: Cross multiply
    77,676.68x = 116,482.91 × 24,350.81
  4. Step 4: Simplify right side
    77,676.68x = 2,836,452,505.49
  5. Step 5: Solve for x
    x = 2,836,452,505.49/77,676.68
  6. Step 6: Final answer
    x = 36,516.14

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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.