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Finding the Fourth Proportional to 82,460.30, 123,679.51 and 23,300.58

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Solution

The fourth proportional to 82,460.30, 123,679.51 and 23,300.58 is: 34,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,460.30 : 123,679.51 = 23,300.58 : x
  2. Step 2: Convert to fraction form
    82,460.30/123,679.51 = 23,300.58/x
  3. Step 3: Cross multiply
    82,460.30x = 123,679.51 × 23,300.58
  4. Step 4: Simplify right side
    82,460.30x = 2,881,804,810.04
  5. Step 5: Solve for x
    x = 2,881,804,810.04/82,460.30
  6. Step 6: Final answer
    x = 34,947.79

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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.