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Finding the Fourth Proportional to 77,693.62, 116,541.11 and 25,103.11

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Solution

The fourth proportional to 77,693.62, 116,541.11 and 25,103.11 is: 37,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,693.62 : 116,541.11 = 25,103.11 : x
  2. Step 2: Convert to fraction form
    77,693.62/116,541.11 = 25,103.11/x
  3. Step 3: Cross multiply
    77,693.62x = 116,541.11 × 25,103.11
  4. Step 4: Simplify right side
    77,693.62x = 2,925,544,303.85
  5. Step 5: Solve for x
    x = 2,925,544,303.85/77,693.62
  6. Step 6: Final answer
    x = 37,654.88

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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.