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Finding the Fourth Proportional to 77,070, 115,616.01 and 23,766.48

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Solution

The fourth proportional to 77,070, 115,616.01 and 23,766.48 is: 35,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,070 : 115,616.01 = 23,766.48 : x
  2. Step 2: Convert to fraction form
    77,070/115,616.01 = 23,766.48/x
  3. Step 3: Cross multiply
    77,070x = 115,616.01 × 23,766.48
  4. Step 4: Simplify right side
    77,070x = 2,747,785,589.34
  5. Step 5: Solve for x
    x = 2,747,785,589.34/77,070
  6. Step 6: Final answer
    x = 35,653.12

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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.