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Finding the Fourth Proportional to 75,374.80, 113,064 and 22,784.08

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Solution

The fourth proportional to 75,374.80, 113,064 and 22,784.08 is: 34,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,374.80 : 113,064 = 22,784.08 : x
  2. Step 2: Convert to fraction form
    75,374.80/113,064 = 22,784.08/x
  3. Step 3: Cross multiply
    75,374.80x = 113,064 × 22,784.08
  4. Step 4: Simplify right side
    75,374.80x = 2,576,059,221.12
  5. Step 5: Solve for x
    x = 2,576,059,221.12/75,374.80
  6. Step 6: Final answer
    x = 34,176.66

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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.