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Finding the Fourth Proportional to 61,964.88, 92,960.28 and 30,783.12

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Solution

The fourth proportional to 61,964.88, 92,960.28 and 30,783.12 is: 46,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,964.88 : 92,960.28 = 30,783.12 : x
  2. Step 2: Convert to fraction form
    61,964.88/92,960.28 = 30,783.12/x
  3. Step 3: Cross multiply
    61,964.88x = 92,960.28 × 30,783.12
  4. Step 4: Simplify right side
    61,964.88x = 2,861,607,454.47
  5. Step 5: Solve for x
    x = 2,861,607,454.47/61,964.88
  6. Step 6: Final answer
    x = 46,181.12

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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.