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Finding the Fourth Proportional to 94,115.96, 129,890.38 and 53,833.40

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Solution

The fourth proportional to 94,115.96, 129,890.38 and 53,833.40 is: 74,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,115.96 : 129,890.38 = 53,833.40 : x
  2. Step 2: Convert to fraction form
    94,115.96/129,890.38 = 53,833.40/x
  3. Step 3: Cross multiply
    94,115.96x = 129,890.38 × 53,833.40
  4. Step 4: Simplify right side
    94,115.96x = 6,992,440,782.69
  5. Step 5: Solve for x
    x = 6,992,440,782.69/94,115.96
  6. Step 6: Final answer
    x = 74,296.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.