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Finding the Fourth Proportional to 53,014.70, 79,512.33 and 21,416.50

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Solution

The fourth proportional to 53,014.70, 79,512.33 and 21,416.50 is: 32,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,014.70 : 79,512.33 = 21,416.50 : x
  2. Step 2: Convert to fraction form
    53,014.70/79,512.33 = 21,416.50/x
  3. Step 3: Cross multiply
    53,014.70x = 79,512.33 × 21,416.50
  4. Step 4: Simplify right side
    53,014.70x = 1,702,875,995.15
  5. Step 5: Solve for x
    x = 1,702,875,995.15/53,014.70
  6. Step 6: Final answer
    x = 32,120.83

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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.