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Finding the Fourth Proportional to 39,533.81, 54,537.81 and 24,421.03

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Solution

The fourth proportional to 39,533.81, 54,537.81 and 24,421.03 is: 33,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,533.81 : 54,537.81 = 24,421.03 : x
  2. Step 2: Convert to fraction form
    39,533.81/54,537.81 = 24,421.03/x
  3. Step 3: Cross multiply
    39,533.81x = 54,537.81 × 24,421.03
  4. Step 4: Simplify right side
    39,533.81x = 1,331,869,372.04
  5. Step 5: Solve for x
    x = 1,331,869,372.04/39,533.81
  6. Step 6: Final answer
    x = 33,689.38

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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.