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Finding the Fourth Proportional to 38,014.83, 52,459.38 and 21,018.78

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Solution

The fourth proportional to 38,014.83, 52,459.38 and 21,018.78 is: 29,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014.83 : 52,459.38 = 21,018.78 : x
  2. Step 2: Convert to fraction form
    38,014.83/52,459.38 = 21,018.78/x
  3. Step 3: Cross multiply
    38,014.83x = 52,459.38 × 21,018.78
  4. Step 4: Simplify right side
    38,014.83x = 1,102,632,167.16
  5. Step 5: Solve for x
    x = 1,102,632,167.16/38,014.83
  6. Step 6: Final answer
    x = 29,005.32

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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.