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Finding the Fourth Proportional to 38,170.49, 57,259.66 and 13,210.50

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Solution

The fourth proportional to 38,170.49, 57,259.66 and 13,210.50 is: 19,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,170.49 : 57,259.66 = 13,210.50 : x
  2. Step 2: Convert to fraction form
    38,170.49/57,259.66 = 13,210.50/x
  3. Step 3: Cross multiply
    38,170.49x = 57,259.66 × 13,210.50
  4. Step 4: Simplify right side
    38,170.49x = 756,428,738.43
  5. Step 5: Solve for x
    x = 756,428,738.43/38,170.49
  6. Step 6: Final answer
    x = 19,817.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.