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Finding the Fourth Proportional to 105,630.96, 145,770.84 and 57,884.42

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Solution

The fourth proportional to 105,630.96, 145,770.84 and 57,884.42 is: 79,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,630.96 : 145,770.84 = 57,884.42 : x
  2. Step 2: Convert to fraction form
    105,630.96/145,770.84 = 57,884.42/x
  3. Step 3: Cross multiply
    105,630.96x = 145,770.84 × 57,884.42
  4. Step 4: Simplify right side
    105,630.96x = 8,437,860,890.74
  5. Step 5: Solve for x
    x = 8,437,860,890.74/105,630.96
  6. Step 6: Final answer
    x = 79,880.57

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1.5x scale

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.