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Finding the Fourth Proportional to 51,504.68, 77,269.07 and 15,964.14

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Solution

The fourth proportional to 51,504.68, 77,269.07 and 15,964.14 is: 23,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,504.68 : 77,269.07 = 15,964.14 : x
  2. Step 2: Convert to fraction form
    51,504.68/77,269.07 = 15,964.14/x
  3. Step 3: Cross multiply
    51,504.68x = 77,269.07 × 15,964.14
  4. Step 4: Simplify right side
    51,504.68x = 1,233,534,291.06
  5. Step 5: Solve for x
    x = 1,233,534,291.06/51,504.68
  6. Step 6: Final answer
    x = 23,949.94

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1.5x scale

Why These Related Problems?

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