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Finding the Fourth Proportional to 32,709.40, 49,064.10 and 18,669.40

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Solution

The fourth proportional to 32,709.40, 49,064.10 and 18,669.40 is: 28,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.40 : 49,064.10 = 18,669.40 : x
  2. Step 2: Convert to fraction form
    32,709.40/49,064.10 = 18,669.40/x
  3. Step 3: Cross multiply
    32,709.40x = 49,064.10 × 18,669.40
  4. Step 4: Simplify right side
    32,709.40x = 915,997,308.54
  5. Step 5: Solve for x
    x = 915,997,308.54/32,709.40
  6. Step 6: Final answer
    x = 28,004.10

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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.