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Finding the Fourth Proportional to 50,297, 75,457.17 and 14,756.88

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Solution

The fourth proportional to 50,297, 75,457.17 and 14,756.88 is: 22,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,297 : 75,457.17 = 14,756.88 : x
  2. Step 2: Convert to fraction form
    50,297/75,457.17 = 14,756.88/x
  3. Step 3: Cross multiply
    50,297x = 75,457.17 × 14,756.88
  4. Step 4: Simplify right side
    50,297x = 1,113,512,402.83
  5. Step 5: Solve for x
    x = 1,113,512,402.83/50,297
  6. Step 6: Final answer
    x = 22,138.74

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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.