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Finding the Fourth Proportional to 50,381.44, 75,457.28 and 24,104.77

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Solution

The fourth proportional to 50,381.44, 75,457.28 and 24,104.77 is: 36,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,381.44 : 75,457.28 = 24,104.77 : x
  2. Step 2: Convert to fraction form
    50,381.44/75,457.28 = 24,104.77/x
  3. Step 3: Cross multiply
    50,381.44x = 75,457.28 × 24,104.77
  4. Step 4: Simplify right side
    50,381.44x = 1,818,880,607.50
  5. Step 5: Solve for x
    x = 1,818,880,607.50/50,381.44
  6. Step 6: Final answer
    x = 36,102.19

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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.