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Finding the Fourth Proportional to 75,130.50, 103,683.33 and 41,596.50

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Solution

The fourth proportional to 75,130.50, 103,683.33 and 41,596.50 is: 57,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,130.50 : 103,683.33 = 41,596.50 : x
  2. Step 2: Convert to fraction form
    75,130.50/103,683.33 = 41,596.50/x
  3. Step 3: Cross multiply
    75,130.50x = 103,683.33 × 41,596.50
  4. Step 4: Simplify right side
    75,130.50x = 4,312,863,636.35
  5. Step 5: Solve for x
    x = 4,312,863,636.35/75,130.50
  6. Step 6: Final answer
    x = 57,404.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.