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Finding the Fourth Proportional to 47,109.40, 70,664.14 and 17,523.40

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Solution

The fourth proportional to 47,109.40, 70,664.14 and 17,523.40 is: 26,285.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,109.40 : 70,664.14 = 17,523.40 : x
  2. Step 2: Convert to fraction form
    47,109.40/70,664.14 = 17,523.40/x
  3. Step 3: Cross multiply
    47,109.40x = 70,664.14 × 17,523.40
  4. Step 4: Simplify right side
    47,109.40x = 1,238,275,990.88
  5. Step 5: Solve for x
    x = 1,238,275,990.88/47,109.40
  6. Step 6: Final answer
    x = 26,285.11

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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.