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Finding the Fourth Proportional to 39,425.32, 54,398.82 and 22,655.08

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Solution

The fourth proportional to 39,425.32, 54,398.82 and 22,655.08 is: 31,259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,425.32 : 54,398.82 = 22,655.08 : x
  2. Step 2: Convert to fraction form
    39,425.32/54,398.82 = 22,655.08/x
  3. Step 3: Cross multiply
    39,425.32x = 54,398.82 × 22,655.08
  4. Step 4: Simplify right side
    39,425.32x = 1,232,409,619.01
  5. Step 5: Solve for x
    x = 1,232,409,619.01/39,425.32
  6. Step 6: Final answer
    x = 31,259.34

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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.