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Finding the Fourth Proportional to 82,210.65, 123,306.31 and 23,051.08

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Solution

The fourth proportional to 82,210.65, 123,306.31 and 23,051.08 is: 34,573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,210.65 : 123,306.31 = 23,051.08 : x
  2. Step 2: Convert to fraction form
    82,210.65/123,306.31 = 23,051.08/x
  3. Step 3: Cross multiply
    82,210.65x = 123,306.31 × 23,051.08
  4. Step 4: Simplify right side
    82,210.65x = 2,842,343,616.31
  5. Step 5: Solve for x
    x = 2,842,343,616.31/82,210.65
  6. Step 6: Final answer
    x = 34,573.91

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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.