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Finding the Fourth Proportional to 81,830.40, 122,823.90 and 42,415.80

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Solution

The fourth proportional to 81,830.40, 122,823.90 and 42,415.80 is: 63,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,830.40 : 122,823.90 = 42,415.80 : x
  2. Step 2: Convert to fraction form
    81,830.40/122,823.90 = 42,415.80/x
  3. Step 3: Cross multiply
    81,830.40x = 122,823.90 × 42,415.80
  4. Step 4: Simplify right side
    81,830.40x = 5,209,673,977.62
  5. Step 5: Solve for x
    x = 5,209,673,977.62/81,830.40
  6. Step 6: Final answer
    x = 63,664.29

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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.