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Finding the Fourth Proportional to 77,376.80, 116,086.80 and 37,935.20

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Solution

The fourth proportional to 77,376.80, 116,086.80 and 37,935.20 is: 56,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,376.80 : 116,086.80 = 37,935.20 : x
  2. Step 2: Convert to fraction form
    77,376.80/116,086.80 = 37,935.20/x
  3. Step 3: Cross multiply
    77,376.80x = 116,086.80 × 37,935.20
  4. Step 4: Simplify right side
    77,376.80x = 4,403,775,975.36
  5. Step 5: Solve for x
    x = 4,403,775,975.36/77,376.80
  6. Step 6: Final answer
    x = 56,913.39

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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.