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Finding the Fourth Proportional to 103,742.70, 155,690.85 and 41,457.90

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Solution

The fourth proportional to 103,742.70, 155,690.85 and 41,457.90 is: 62,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,742.70 : 155,690.85 = 41,457.90 : x
  2. Step 2: Convert to fraction form
    103,742.70/155,690.85 = 41,457.90/x
  3. Step 3: Cross multiply
    103,742.70x = 155,690.85 × 41,457.90
  4. Step 4: Simplify right side
    103,742.70x = 6,454,615,690.22
  5. Step 5: Solve for x
    x = 6,454,615,690.22/103,742.70
  6. Step 6: Final answer
    x = 62,217.54

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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.