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Finding the Fourth Proportional to 75,187.94, 112,784.64 and 25,269.70

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Solution

The fourth proportional to 75,187.94, 112,784.64 and 25,269.70 is: 37,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,187.94 : 112,784.64 = 25,269.70 : x
  2. Step 2: Convert to fraction form
    75,187.94/112,784.64 = 25,269.70/x
  3. Step 3: Cross multiply
    75,187.94x = 112,784.64 × 25,269.70
  4. Step 4: Simplify right side
    75,187.94x = 2,850,034,017.41
  5. Step 5: Solve for x
    x = 2,850,034,017.41/75,187.94
  6. Step 6: Final answer
    x = 37,905.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.