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Finding the Fourth Proportional to 39,878.56, 55,030.16 and 21,975.40

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Solution

The fourth proportional to 39,878.56, 55,030.16 and 21,975.40 is: 30,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878.56 : 55,030.16 = 21,975.40 : x
  2. Step 2: Convert to fraction form
    39,878.56/55,030.16 = 21,975.40/x
  3. Step 3: Cross multiply
    39,878.56x = 55,030.16 × 21,975.40
  4. Step 4: Simplify right side
    39,878.56x = 1,209,309,613.02
  5. Step 5: Solve for x
    x = 1,209,309,613.02/39,878.56
  6. Step 6: Final answer
    x = 30,324.81

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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.