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Finding the Fourth Proportional to 61,783.13, 92,619.21 and 30,175.31

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Solution

The fourth proportional to 61,783.13, 92,619.21 and 30,175.31 is: 45,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,783.13 : 92,619.21 = 30,175.31 : x
  2. Step 2: Convert to fraction form
    61,783.13/92,619.21 = 30,175.31/x
  3. Step 3: Cross multiply
    61,783.13x = 92,619.21 × 30,175.31
  4. Step 4: Simplify right side
    61,783.13x = 2,794,813,373.71
  5. Step 5: Solve for x
    x = 2,794,813,373.71/61,783.13
  6. Step 6: Final answer
    x = 45,235.87

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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.