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Finding the Fourth Proportional to 94,624, 141,775.32 and 57,105.24

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Solution

The fourth proportional to 94,624, 141,775.32 and 57,105.24 is: 85,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,624 : 141,775.32 = 57,105.24 : x
  2. Step 2: Convert to fraction form
    94,624/141,775.32 = 57,105.24/x
  3. Step 3: Cross multiply
    94,624x = 141,775.32 × 57,105.24
  4. Step 4: Simplify right side
    94,624x = 8,096,113,674.68
  5. Step 5: Solve for x
    x = 8,096,113,674.68/94,624
  6. Step 6: Final answer
    x = 85,560.89

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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.