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Finding the Fourth Proportional to 82,000, 122,966.08 and 28,680.80

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Solution

The fourth proportional to 82,000, 122,966.08 and 28,680.80 is: 43,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,000 : 122,966.08 = 28,680.80 : x
  2. Step 2: Convert to fraction form
    82,000/122,966.08 = 28,680.80/x
  3. Step 3: Cross multiply
    82,000x = 122,966.08 × 28,680.80
  4. Step 4: Simplify right side
    82,000x = 3,526,765,547.26
  5. Step 5: Solve for x
    x = 3,526,765,547.26/82,000
  6. Step 6: Final answer
    x = 43,009.34

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