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Finding the Fourth Proportional to 40,208.81, 55,506.47 and 27,482.59

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Solution

The fourth proportional to 40,208.81, 55,506.47 and 27,482.59 is: 37,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,208.81 : 55,506.47 = 27,482.59 : x
  2. Step 2: Convert to fraction form
    40,208.81/55,506.47 = 27,482.59/x
  3. Step 3: Cross multiply
    40,208.81x = 55,506.47 × 27,482.59
  4. Step 4: Simplify right side
    40,208.81x = 1,525,461,489.33
  5. Step 5: Solve for x
    x = 1,525,461,489.33/40,208.81
  6. Step 6: Final answer
    x = 37,938.49

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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.