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Finding the Fourth Proportional to 82,242, 123,451.80 and 40,776.72

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Solution

The fourth proportional to 82,242, 123,451.80 and 40,776.72 is: 61,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,242 : 123,451.80 = 40,776.72 : x
  2. Step 2: Convert to fraction form
    82,242/123,451.80 = 40,776.72/x
  3. Step 3: Cross multiply
    82,242x = 123,451.80 × 40,776.72
  4. Step 4: Simplify right side
    82,242x = 5,033,959,482.10
  5. Step 5: Solve for x
    x = 5,033,959,482.10/82,242
  6. Step 6: Final answer
    x = 61,209.11

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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.