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Finding the Fourth Proportional to 77,693.87, 116,541.48 and 25,103.36

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Solution

The fourth proportional to 77,693.87, 116,541.48 and 25,103.36 is: 37,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,693.87 : 116,541.48 = 25,103.36 : x
  2. Step 2: Convert to fraction form
    77,693.87/116,541.48 = 25,103.36/x
  3. Step 3: Cross multiply
    77,693.87x = 116,541.48 × 25,103.36
  4. Step 4: Simplify right side
    77,693.87x = 2,925,582,727.37
  5. Step 5: Solve for x
    x = 2,925,582,727.37/77,693.87
  6. Step 6: Final answer
    x = 37,655.26

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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.