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Finding the Fourth Proportional to 46,538.92, 69,812.70 and 18,839.08

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Solution

The fourth proportional to 46,538.92, 69,812.70 and 18,839.08 is: 28,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,538.92 : 69,812.70 = 18,839.08 : x
  2. Step 2: Convert to fraction form
    46,538.92/69,812.70 = 18,839.08/x
  3. Step 3: Cross multiply
    46,538.92x = 69,812.70 × 18,839.08
  4. Step 4: Simplify right side
    46,538.92x = 1,315,207,040.32
  5. Step 5: Solve for x
    x = 1,315,207,040.32/46,538.92
  6. Step 6: Final answer
    x = 28,260.37

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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.