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Finding the Fourth Proportional to 34,036.68, 51,069.78 and 14,320.20

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Solution

The fourth proportional to 34,036.68, 51,069.78 and 14,320.20 is: 21,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,036.68 : 51,069.78 = 14,320.20 : x
  2. Step 2: Convert to fraction form
    34,036.68/51,069.78 = 14,320.20/x
  3. Step 3: Cross multiply
    34,036.68x = 51,069.78 × 14,320.20
  4. Step 4: Simplify right side
    34,036.68x = 731,329,463.56
  5. Step 5: Solve for x
    x = 731,329,463.56/34,036.68
  6. Step 6: Final answer
    x = 21,486.51

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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.