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Finding the Fourth Proportional to 38,017.50, 52,459.57 and 21,019.45

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Solution

The fourth proportional to 38,017.50, 52,459.57 and 21,019.45 is: 29,004.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,017.50 : 52,459.57 = 21,019.45 : x
  2. Step 2: Convert to fraction form
    38,017.50/52,459.57 = 21,019.45/x
  3. Step 3: Cross multiply
    38,017.50x = 52,459.57 × 21,019.45
  4. Step 4: Simplify right side
    38,017.50x = 1,102,671,361.24
  5. Step 5: Solve for x
    x = 1,102,671,361.24/38,017.50
  6. Step 6: Final answer
    x = 29,004.31

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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.