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Finding the Fourth Proportional to 56,268.34, 77,647.16 and 30,769.64

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Solution

The fourth proportional to 56,268.34, 77,647.16 and 30,769.64 is: 42,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,268.34 : 77,647.16 = 30,769.64 : x
  2. Step 2: Convert to fraction form
    56,268.34/77,647.16 = 30,769.64/x
  3. Step 3: Cross multiply
    56,268.34x = 77,647.16 × 30,769.64
  4. Step 4: Simplify right side
    56,268.34x = 2,389,175,160.22
  5. Step 5: Solve for x
    x = 2,389,175,160.22/56,268.34
  6. Step 6: Final answer
    x = 42,460.38

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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.