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Finding the Fourth Proportional to 56,365.28, 84,548.64 and 26,786

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Solution

The fourth proportional to 56,365.28, 84,548.64 and 26,786 is: 40,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,365.28 : 84,548.64 = 26,786 : x
  2. Step 2: Convert to fraction form
    56,365.28/84,548.64 = 26,786/x
  3. Step 3: Cross multiply
    56,365.28x = 84,548.64 × 26,786
  4. Step 4: Simplify right side
    56,365.28x = 2,264,719,871.04
  5. Step 5: Solve for x
    x = 2,264,719,871.04/56,365.28
  6. Step 6: Final answer
    x = 40,179.34

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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.