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Finding the Fourth Proportional to 30,638.59, 45,962.21 and 10,911.31

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Solution

The fourth proportional to 30,638.59, 45,962.21 and 10,911.31 is: 16,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.59 : 45,962.21 = 10,911.31 : x
  2. Step 2: Convert to fraction form
    30,638.59/45,962.21 = 10,911.31/x
  3. Step 3: Cross multiply
    30,638.59x = 45,962.21 × 10,911.31
  4. Step 4: Simplify right side
    30,638.59x = 501,507,867.04
  5. Step 5: Solve for x
    x = 501,507,867.04/30,638.59
  6. Step 6: Final answer
    x = 16,368.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.