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Finding the Fourth Proportional to 77,767.92, 116,670.42 and 25,177.42

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Solution

The fourth proportional to 77,767.92, 116,670.42 and 25,177.42 is: 37,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,767.92 : 116,670.42 = 25,177.42 : x
  2. Step 2: Convert to fraction form
    77,767.92/116,670.42 = 25,177.42/x
  3. Step 3: Cross multiply
    77,767.92x = 116,670.42 × 25,177.42
  4. Step 4: Simplify right side
    77,767.92x = 2,937,460,165.92
  5. Step 5: Solve for x
    x = 2,937,460,165.92/77,767.92
  6. Step 6: Final answer
    x = 37,772.13

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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.