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Finding the Fourth Proportional to 75,271.94, 112,893.50 and 37,821.64

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Solution

The fourth proportional to 75,271.94, 112,893.50 and 37,821.64 is: 56,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,271.94 : 112,893.50 = 37,821.64 : x
  2. Step 2: Convert to fraction form
    75,271.94/112,893.50 = 37,821.64/x
  3. Step 3: Cross multiply
    75,271.94x = 112,893.50 × 37,821.64
  4. Step 4: Simplify right side
    75,271.94x = 4,269,817,315.34
  5. Step 5: Solve for x
    x = 4,269,817,315.34/75,271.94
  6. Step 6: Final answer
    x = 56,725.22

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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.