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Finding the Fourth Proportional to 42,164.94, 63,249.42 and 12,585.08

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Solution

The fourth proportional to 42,164.94, 63,249.42 and 12,585.08 is: 18,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,164.94 : 63,249.42 = 12,585.08 : x
  2. Step 2: Convert to fraction form
    42,164.94/63,249.42 = 12,585.08/x
  3. Step 3: Cross multiply
    42,164.94x = 63,249.42 × 12,585.08
  4. Step 4: Simplify right side
    42,164.94x = 795,999,010.65
  5. Step 5: Solve for x
    x = 795,999,010.65/42,164.94
  6. Step 6: Final answer
    x = 18,878.22

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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.