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Finding the Fourth Proportional to 53,588.61, 80,377.23 and 22,002

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Solution

The fourth proportional to 53,588.61, 80,377.23 and 22,002 is: 33,000.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,588.61 : 80,377.23 = 22,002 : x
  2. Step 2: Convert to fraction form
    53,588.61/80,377.23 = 22,002/x
  3. Step 3: Cross multiply
    53,588.61x = 80,377.23 × 22,002
  4. Step 4: Simplify right side
    53,588.61x = 1,768,459,814.46
  5. Step 5: Solve for x
    x = 1,768,459,814.46/53,588.61
  6. Step 6: Final answer
    x = 33,000.67

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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.