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Finding the Fourth Proportional to 70,391.17, 105,582.81 and 19,793.57

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Solution

The fourth proportional to 70,391.17, 105,582.81 and 19,793.57 is: 29,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,391.17 : 105,582.81 = 19,793.57 : x
  2. Step 2: Convert to fraction form
    70,391.17/105,582.81 = 19,793.57/x
  3. Step 3: Cross multiply
    70,391.17x = 105,582.81 × 19,793.57
  4. Step 4: Simplify right side
    70,391.17x = 2,089,860,740.53
  5. Step 5: Solve for x
    x = 2,089,860,740.53/70,391.17
  6. Step 6: Final answer
    x = 29,689.25

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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.