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Finding the Fourth Proportional to 75,172.98, 103,737.54 and 41,181.18

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Solution

The fourth proportional to 75,172.98, 103,737.54 and 41,181.18 is: 56,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,172.98 : 103,737.54 = 41,181.18 : x
  2. Step 2: Convert to fraction form
    75,172.98/103,737.54 = 41,181.18/x
  3. Step 3: Cross multiply
    75,172.98x = 103,737.54 × 41,181.18
  4. Step 4: Simplify right side
    75,172.98x = 4,272,034,307.50
  5. Step 5: Solve for x
    x = 4,272,034,307.50/75,172.98
  6. Step 6: Final answer
    x = 56,829.39

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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.