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Finding the Fourth Proportional to 54,655.14, 75,422.71 and 30,782.01

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Solution

The fourth proportional to 54,655.14, 75,422.71 and 30,782.01 is: 42,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,655.14 : 75,422.71 = 30,782.01 : x
  2. Step 2: Convert to fraction form
    54,655.14/75,422.71 = 30,782.01/x
  3. Step 3: Cross multiply
    54,655.14x = 75,422.71 × 30,782.01
  4. Step 4: Simplify right side
    54,655.14x = 2,321,662,613.45
  5. Step 5: Solve for x
    x = 2,321,662,613.45/54,655.14
  6. Step 6: Final answer
    x = 42,478.39

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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.