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Finding the Fourth Proportional to 37,086.48, 55,630 and 12,462.48

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Solution

The fourth proportional to 37,086.48, 55,630 and 12,462.48 is: 18,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,086.48 : 55,630 = 12,462.48 : x
  2. Step 2: Convert to fraction form
    37,086.48/55,630 = 12,462.48/x
  3. Step 3: Cross multiply
    37,086.48x = 55,630 × 12,462.48
  4. Step 4: Simplify right side
    37,086.48x = 693,287,762.40
  5. Step 5: Solve for x
    x = 693,287,762.40/37,086.48
  6. Step 6: Final answer
    x = 18,693.81

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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.