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Finding the Fourth Proportional to 82,106.88, 123,046.40 and 46,972.16

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Solution

The fourth proportional to 82,106.88, 123,046.40 and 46,972.16 is: 70,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,106.88 : 123,046.40 = 46,972.16 : x
  2. Step 2: Convert to fraction form
    82,106.88/123,046.40 = 46,972.16/x
  3. Step 3: Cross multiply
    82,106.88x = 123,046.40 × 46,972.16
  4. Step 4: Simplify right side
    82,106.88x = 5,779,755,188.22
  5. Step 5: Solve for x
    x = 5,779,755,188.22/82,106.88
  6. Step 6: Final answer
    x = 70,393.07

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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.