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Finding the Fourth Proportional to 75,686.75, 104,450.96 and 42,152.75

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Solution

The fourth proportional to 75,686.75, 104,450.96 and 42,152.75 is: 58,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,686.75 : 104,450.96 = 42,152.75 : x
  2. Step 2: Convert to fraction form
    75,686.75/104,450.96 = 42,152.75/x
  3. Step 3: Cross multiply
    75,686.75x = 104,450.96 × 42,152.75
  4. Step 4: Simplify right side
    75,686.75x = 4,402,894,993.38
  5. Step 5: Solve for x
    x = 4,402,894,993.38/75,686.75
  6. Step 6: Final answer
    x = 58,172.60

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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.