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Finding the Fourth Proportional to 82,000.14, 123,017.46 and 46,478.48

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Solution

The fourth proportional to 82,000.14, 123,017.46 and 46,478.48 is: 69,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,000.14 : 123,017.46 = 46,478.48 : x
  2. Step 2: Convert to fraction form
    82,000.14/123,017.46 = 46,478.48/x
  3. Step 3: Cross multiply
    82,000.14x = 123,017.46 × 46,478.48
  4. Step 4: Simplify right side
    82,000.14x = 5,717,664,554.26
  5. Step 5: Solve for x
    x = 5,717,664,554.26/82,000.14
  6. Step 6: Final answer
    x = 69,727.50

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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.