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Finding the Fourth Proportional to 77,673, 116,499.58 and 25,077

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Solution

The fourth proportional to 77,673, 116,499.58 and 25,077 is: 37,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,673 : 116,499.58 = 25,077 : x
  2. Step 2: Convert to fraction form
    77,673/116,499.58 = 25,077/x
  3. Step 3: Cross multiply
    77,673x = 116,499.58 × 25,077
  4. Step 4: Simplify right side
    77,673x = 2,921,459,967.66
  5. Step 5: Solve for x
    x = 2,921,459,967.66/77,673
  6. Step 6: Final answer
    x = 37,612.30

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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.