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Finding the Fourth Proportional to 38,416.50, 53,014.77 and 21,650.10

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Solution

The fourth proportional to 38,416.50, 53,014.77 and 21,650.10 is: 29,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416.50 : 53,014.77 = 21,650.10 : x
  2. Step 2: Convert to fraction form
    38,416.50/53,014.77 = 21,650.10/x
  3. Step 3: Cross multiply
    38,416.50x = 53,014.77 × 21,650.10
  4. Step 4: Simplify right side
    38,416.50x = 1,147,775,071.98
  5. Step 5: Solve for x
    x = 1,147,775,071.98/38,416.50
  6. Step 6: Final answer
    x = 29,877.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.