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Finding the Fourth Proportional to 77,116.40, 115,444.20 and 45,935.60

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Solution

The fourth proportional to 77,116.40, 115,444.20 and 45,935.60 is: 68,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,116.40 : 115,444.20 = 45,935.60 : x
  2. Step 2: Convert to fraction form
    77,116.40/115,444.20 = 45,935.60/x
  3. Step 3: Cross multiply
    77,116.40x = 115,444.20 × 45,935.60
  4. Step 4: Simplify right side
    77,116.40x = 5,302,998,593.52
  5. Step 5: Solve for x
    x = 5,302,998,593.52/77,116.40
  6. Step 6: Final answer
    x = 68,766.16

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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.