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Finding the Fourth Proportional to 56,366.78, 77,609.12 and 47,851.25

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Solution

The fourth proportional to 56,366.78, 77,609.12 and 47,851.25 is: 65,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,366.78 : 77,609.12 = 47,851.25 : x
  2. Step 2: Convert to fraction form
    56,366.78/77,609.12 = 47,851.25/x
  3. Step 3: Cross multiply
    56,366.78x = 77,609.12 × 47,851.25
  4. Step 4: Simplify right side
    56,366.78x = 3,713,693,164.14
  5. Step 5: Solve for x
    x = 3,713,693,164.14/56,366.78
  6. Step 6: Final answer
    x = 65,884.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.